Two consecutive angles in a parallelogram have the measures x+5 and 4x-10. Find the smaller angle.

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asked Jun 17, 2019 126k views

1 Answer

Zhi · Answer 1 · 2019-06-22T19:28:46+0000

If angles are consecutive then Their sum will be 180°.

So,
x+5+(4x-10) = 180
5x-5 = 180
5(x-1) = 180
x-1 = 36
x = 37

Angles are x+5 that is 37+5 = 42°
and 2nd one is 4x-10 that is 4x37-10 = 138°

Smaller Angle Is 42°

Two consecutive angles in a parallelogram have the measures x+5 and 4x-10. Find the smaller angle.

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