Question

find the degree measure of each angle in the following figure. 2x-10° 3x+15°​

Answer 1

Answer:

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The two alternate interior angles provided are

( 2x + 10° ) and,

( 3x - 15° )

A pair of alternate interior angles as per property , have equal values.

( 2x + 10 )° = ( 3x - 15 )°

( 10 + 15 )° = 3x - 2x

25° = x

So,

Angle 1 : ( 2x + 10)° = 2 × 25 + 10 = 60°

Angle 2 :( 3x - 15 )° = 3 × 25 - 15 = 60°

hope this will help you...

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Answer 2

answer is below

The two alternate interior angles provided are

( 2x + 10° ) and,

( 3x - 15° )

A pair of alternate interior angles as per property , have equal values.

( 2x + 10 )° = ( 3x - 15 )°

( 10 + 15 )° = 3x - 2x

25° = x

So,

Angle 1 : ( 2x + 10)° = 2 × 25 + 10 = 60°

Angle 2 :( 3x - 15 )° = 3 × 25 - 15 = 60°

hope this will help you...