Question

1. find the measure of each missing angle.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

Explanation:

Step1: Find \( m\angle1 \)

Since the two sides are equal, the triangle is isosceles. In a right - angled isosceles triangle, \( m\angle1 = 45^{\circ} \)

Step2: Find \( m\angle2 \)

\( m\angle2=180^{\circ}-35^{\circ}-90^{\circ}=55^{\circ} \)

Step3: Find \( m\angle3 \)

The large triangle is isosceles. \( m\angle3=(180^{\circ}-(35^{\circ}+55^{\circ}))\div2 = 45^{\circ} \)

Step4: Find \( m\angle4 \)

\( m\angle4 = 180^{\circ}-45^{\circ}-90^{\circ}=45^{\circ} \)

Step5: Find \( m\angle5 \)

Since the two sides are equal, the triangle is isosceles. \( m\angle5 = 45^{\circ} \)

Answer:

\( m\angle1 = 45^{\circ}\)
\( m\angle2 = 55^{\circ}\)
\( m\angle3 = 45^{\circ}\)
\( m\angle4 = 45^{\circ}\)
\( m\angle5 = 45^{\circ}\)