Question

4. Triangle Relationships- Interior and Exterior Angles

Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A

Answer 1

Value of ∠1 = 102°

Value of ∠1 = 72°

Explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30 + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180

102 + ∠ 2 = 180

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°