Question

Find the value of x.

Answer 1

Answer:

64 degrees

Step-by-step explanation:

Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles

Lets use the angle sum theorem and isosceles triangle definition

180=n+29+29

180=n+58

n+58=180

n=180-58

n=122

This angle is supplementary to one of the two congruent angles of the triangle that contains angle x

180=y+122

y+122=180

y=180-122

y=58

The triangle that has angle x is isosceles, thus we can use the following equation to find x

180=58+58+x

180=116+x

116+x=180

x+116=180

x=180-116

x=64 degrees