Question

if the exterior angle of a triangle is 110° and the interior opposite angles are 60° and a find the measure of the other

Answer 1

Given

• Exterior angle of a triangle = 110°
• One of the interior opposite angle = 60°

To find

• Measure of each angle of the triangle

Solution

In the triangle, the exterior angle is equal to the sum of interior angles.

According to the question,

• 60° + x° = 110°
• x° = 110° - 60°
• x° = 50°

Hence, the measure of other interior angle is 50°

Now the measure of third angle = 180-(50+60)

= 180-110

= 70°

Hence, the three angles are 50° , 60° , 70°

Answer 2

Answer:

Exterior angle of a triangle = 110°

One of the interior opposite angle = 60°

To find

Measure of each angle of the triangle

Solution

In the triangle, the exterior angle is equal to the sum of interior angles.

According to the question,

60° + x° = 110°

x° = 110° - 60°

x° = 50°

Hence, the measure of other interior angle is 50°

Now the measure of third angle = 180-(50+60)

= 180-110

= 70°

Hence, the three angles are 50° , 60° , 70°

Step-by-step explanation: