Mathematics

Grade9

Easy

Question

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

19^° and 24^°
17^° and 25^°
11^° and 27^°
18^° and 29^°

The correct answer is: 17^° and 25^°

$A P Q comma space space space space 125 degree plus left parenthesis 3 x plus 4 right parenthesis degree equals 180 degree space left parenthesis l i n e a r space p a i r right parenthesis space space space space space space space space space space space space A l s o comma space m parallel to l space space space space rightwards double arrow 125 degree plus 3 x degree plus 4 degree space space equals 180 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space s o comma 125 degree equals left parenthesis 7 y minus 50 right parenthesis degree left parenthesis a l t space e x t space a n g l e right parenthesis rightwards double arrow 129 degree plus 3 x degree equals 180 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow 125 degree plus 50 degree equals 7 y degree rightwards double arrow 3 x degree equals 180 degree minus 129 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow 7 y degree equals 175 degree rightwards double arrow 3 x degree equals 51 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow y equals 175 degree divided by 7 degree rightwards double arrow x equals 51 degree divided by 3 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow y equals 25 degree rightwards double arrow x equals 17 degree$

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

19° and 24°17° and 25°11° and 27°18° and 29°

The correct answer is: 17° and 25°

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19^° and 24^°
17^° and 25^°
11^° and 27^°
18^° and 29^°

The correct answer is: 17^° and 25^°

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

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

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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?

Find $angle D A C$ .

Find $angle D A C$ .