Mathematics

Grade9

Easy

Question

The measure of $angle A B C$ is ______.

113^o
67^o
180^o
133^o

hint Hint:

To find $angle$ ABC first we need to find $angle$ DBF because both are vertically opposite angle. As DC is parallel to GE and AH is the transversal. So, The sum of $angle$ DBF and $angle$ BFG will be 180 $degree$ because of consecutive interior angle.

The correct answer is: 113^o

The measure of $angle A B C$ is _113 $degree$ _____.

APQ, DC is parallel to GE, AH is the transversal.
So, $angle D B F plus angle B F G equals space 180 degree space left parenthesis c o n s e c u t i v e space i n t e r i o r space a n g l e right parenthesis$
$rightwards double arrow angle D B F plus 67 degree equals 180 degree rightwards double arrow angle D B F equals 180 degree minus 67 degree rightwards double arrow angle D B F equals 113 degree$
Now , $angle A B C equals angle D B F space left parenthesis v e r t i c a l l y space o p p o s i t e space a n g l e right parenthesis$
$rightwards double arrow angle A B C equals 113 degree$

If l || m then find the measures of x and y?

In this question we have to find x and y given that l is parallel to m and t is the transversal. First to find x we can use linear pair as we know that the sum of angles which are in linear pair is 180 deg. Next to find y we can use the theorem alternate exterior angles are equal.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

The measure of is ______.

113o67o180o133o

To find ABC first we need to find DBF because both are vertically opposite angle. As DC is parallel to GE and AH is the transversal. So, The sum of DBF and BFG will be 180 because of consecutive interior angle.

The correct answer is: 113o

The measure of is _113_____.APQ, DC is parallel to GE, AH is the transversal.So, Now ,

Related Questions to study

If l || m then find the measures of x and y?

If l || m then find the measures of x and y?

Identify the alternate exterior angles.

Identify the alternate exterior angles.

The measure of is _____.

The measure of is _____.

What is the measure of ?

What is the measure of ?

A neon sign is shown below. Are the top and the bottom of the Z parallel? How the given angles are related.

A neon sign is shown below. Are the top and the bottom of the Z parallel? How the given angles are related.

When EF intersects AB and CD, the measure of is ________.

When EF intersects AB and CD, the measure of is ________.

Find the value of y.

Find the value of y.

Identify the pair of parallel lines.

Identify the pair of parallel lines.

The stumps used in cricket are __________ each other.

The stumps used in cricket are __________ each other.

If a is parallel to c, then ________.

If a is parallel to c, then ________.

The measure of is _________.

The measure of is _________.

How are and related to each other?

How are and related to each other?

The lines x and y are _________ to each other.

The lines x and y are _________ to each other.

Find the value of x.

Find the value of x.

The hands of the clock are ____________.

The hands of the clock are ____________.

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

The measure of $angle A B C$ is ______.

113^o
67^o
180^o
133^o

To find $angle$ ABC first we need to find $angle$ DBF because both are vertically opposite angle. As DC is parallel to GE and AH is the transversal. So, The sum of $angle$ DBF and $angle$ BFG will be 180 $degree$ because of consecutive interior angle.

The correct answer is: 113^o

The measure of $angle A Y C$ is _____.

The measure of $angle A Y C$ is _____.

What is the measure of $angle L K G$ ?

What is the measure of $angle L K G$ ?

When EF intersects AB and CD, the measure of $angle E P A$ is ________.

When EF intersects AB and CD, the measure of $angle E P A$ is ________.

The measure of $angle B C D$ is _________.

The measure of $angle B C D$ is _________.

How are $angle H K N$ and $angle A B E$ related to each other?

How are $angle H K N$ and $angle A B E$ related to each other?