Skip to main content

Geometry: Using Circles of Find Angle Measures

1. C

$$\eqalign{75+25+y&=180\\100+y&=180\\y&=80\\\\75+80+x&=180\\155+x&=180\\x&=25}$$

2. B

$$\eqalign{2y^2+\sqrt{x^2}=&\\2(80)^2+\sqrt{25^2}=&\\2(6400)+25==&\\12800+25=&12825}$$

3. E

$$\eqalign{x-15+x+20+x+40&=180\\3x+45&=180\\3x&=135\\x&=45}$$