Question

M∠1=36°, m∠4=49°, m∠6=131°. Find m∠9. A. 144 B. 242 C. 216 D. 36

Answer 1

A. 144

Explanation:

Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.

Angles 1 and 9 are a linear pair, so they are supplementary.

m<9 + m<1 = 180

m<9 + 36 = 180

m<9 = 144

Answer 2

<9 =144

Explanation:

<1 + <4 + < 6 + <9 = 360

36+ 49+ 131 + <9 = 360

216 + < 9 = 360

< 9 = 360-216

<9 =144