Question

Find the value of x in the picture

Answer 1

x = 38

Explanation:

∠ KLO and ∠ MLO are adjacent and supplementary, thus

∠ MLO = 180° - 134° = 46°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ NMO is an external angle of the triangle, thus

x + 46 = 84 ( subtract 46 from both sides )

x = 38

Answer 2

x = 38

Explanation:

A straight line is 180°. We are given 134 and 84. We can find the value of ∠QLM and ∠QML by taking the given numbers and subtract it from 180:

180 - 134 = 46

180 - 84 = 96

All triangles add up to 180. And we already have two of the angles in the triangle. So to find x, we take 46 and 96, add, and subtract from 180:

46 + 96 = 142

180 - 142 = 38