Question

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Answer 1

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Answer 2

Answer :-

• The measure of angles the angles of the isosceles triangle are: 36°, 72° and 72°
• The measure of the other angle is 30°.

Step-by-step explanation ::

1. To Find :-

• The measure of all the angles

Solution :

Given that,

• The two angles of an isosceles triangle are twice the third angle

Assumption:

Let us assume the third angle as x and the other two angles of an isosceles triangle, which is twice the third angle as 2x and 2x,

As we know that,

Sum of all interior angles of a triangle = 180°,

Therefore,

• 2x + 2x + x = 180°

➟ 2x + 2x + x = 180

➟ 4x + x = 180

➟ 5x = 180

➟ x = 180/5

➟ x = 36

The angles are ::

• The angle which we assumed as x

➟ x

➟ 36°

• The two angles which we assumed as 2x

➟ 2x

➟ 2*36

➟ 72°

The measure of angles the angles of the isosceles triangle are: 36°, 72° and 72°

2. To Find :-

• The measure of other acute angle of a right angle

Solution ::

Given that,

• One of the angle of a right angle is 60°

Assumption :-

Let us assume the other acute angle as x,

As we know that,

Sum of all interior angles of a triangle = 180°,

Therefore,

• 90° + 60° + x = 180°

➟ 90 + 60 + x = 180

➟ 150 + x = 180

➟ x = 180 - 150

➟ x = 30

The measure of other acute angle is::

➟ x

➟ 30°

The measure of the other angle is 30°.