65.6k views
4 votes
Can someone help me find the value of each variable

Can someone help me find the value of each variable-example-1
User Luigi Siri
by
5.5k points

1 Answer

6 votes

Answer:

see explanation

Explanation:

m and 64° lie on a straight angle and are therefore supplementary, hence

m = 180 - 64 = 116

The sum of the 4 angles in a quadrilateral = 360°

Sum the angles in the quadrilateral and equate to 360

89 + 50 + 116 + n = 360 ← simplify left side

255 + n = 360 ( subtract 255 from both sides )

n = 105

Thus m = 116 and n = 105

User Anuruddha
by
4.7k points