Solution for the question - the measure of /_abe is ______. 133o180o67o113o

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.

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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 ,

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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

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