Question

two parellel lines l and m are intersected by a transversal t if the alternate interior angles are 2x + 18 and 3x -7 find the measure of these angles​

Answer 1

Answer:

Step-by-step explanation:

the sum of alternate interior angles = 180 degree

(2x + 18) + (3x - 7) = 180

2x +18+3x - 7 = 180

5x + 11 = 180

5x = 169

x = 169/5

= 33.8

thus the two angles are

2x + 18 = 85.6 degree

3x -7 = 94.4 degree

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Answer 2

We know that alternate interior angles are equal

Hence

2x + 18 = 3x – 7

2x – 3x = – 7 – 18

– x = – 25

x = 25

Therefore,

First angle = 2x + 18 = 50 + 18 = 68°

Second angle = 3x – 7 = 75 – 7 = 68°