Question

1. ex 3

5
34°
l
m∠u =

m∠i =

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base angles are equal. So, \(m\angle U = 34^{\circ}\)

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(m\angle I=x\). Then \(34^{\circ}+34^{\circ}+x = 180^{\circ}\)

$$x=180^{\circ}-(34^{\circ}+34^{\circ})$$

$$x = 112^{\circ}$$

Answer:

\(m\angle U = 34^{\circ}\), \(m\angle I=112^{\circ}\)