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

Question

Isaiah Berger

Mathematics

8 October, 02:12

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

+5

Answers (1)

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Roxy · Answer 1

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°