Question

Find x+y+z from the following figure


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Answer 1

Explanation:

the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.

also, remember, all angles inside a triangle always sum up to 180°.

so, the third inner angle of the triangle is

180 - 90 - 40 = 50°.

that makes z = 180 - 50 = 130°

and y = 180 - 40 = 140°.