Question

In the diagram shown, angles 1, 2, and 3 are congruent. The measure of / is 4° greater than the measure of /. The sum of the measures of the 4 angles is 116°. What is the combined measure of angles 1 and 4?

Answer 1

<1 and < 2, and < 3 are congruent...they are equal

< 4 = < 1 + 4

x is gonna represent ur angles
x + x + x + x + 4 = 116
4x + 4 = 116
4x = 116 - 4
4x = 112
x = 112/4
x = 28

x + 4 = 28 + 4 = 32

so < 1 is 28 and < 4 is 32....combined = (32 + 28) = 60 <==