Question

Find the value of x and y

Answer 1

x = 63°, y = 27°

Explanation:

the angles x and 117 form a straight angle, whose sum equals 180°, hence

x = 180° - 117° = 63°

The sum of x and y = 90° ( given ), hence

y = 90° - 63° = 27°

Answer 2

`\text{x\ and}\ 117^o\ \text{and supplementary angles.}\\\text{Two Angles are Supplementary when they add up to 180}^o.\\\text{Therefore:}\\\\x^o+117^o=180^o\qquad\text{subtract}\ 117^o\ \text{from both sides}\\\\x^o=63^o\\\\\text{From a picture we have}\ x^o+y^o=90^o.\ \text{Therefore}\\\\63^o+y^o=90^o\qquad\text{subtract}\ 63^o\ \text{from both sides}\\\\y^o=27^o\\\\Answer:\ \boxed{x=63^o,\ y=27^o}`