Question

Without using a protractor, but with the aide of the linear pair theorem and the vertical angle theorem, find the measure of each lettered angle in #1 - #5.

Answer 1

51°, a , and 52° form a linear triple, so all add 180°.

a + 51 + 52 = 180

a = 180-51-52

a = 77°

Vertical angles ( opposite angles ) are equal.

So:

d = 51°

b = 52°

a=c = 77°