Question

If an isosceles Triangle has two equal angles, then the measure of third angle is 70°,
The measure of two angle are ____ and ____.

Answer 1

Step-by-step explanation:

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Answer 2

The measure of two equal angles of an isosceles Triangle are  55° and 55°  if  the measure of third angle is 70°

Given:

• An Isosceles triangle
• Measure of unequal angle = 70°

To Find:

• Measure of Equal angles

Concept to be used:

• "Sum of Measure of angles of a triangle is 180°"
• "Isosceles triangle has two side Equal and two equal angles"

Step 1:

Assume that Measure of equal angles are a , a

Step 2:

Equate the sum of measure of 3 angles with 180°

a + a + 70° = 180°

Step 3:

Solve for a:

2a + 70° = 180°

=> 2a = 110°

=> a = 55°

Hence measure of two equal angle are 55° and 55°.