Question

The size of the obtuse angle of a rhombus is twice the size of its acute angle . Find the acute angle

Answer 1

Hey Dear,

◆ Answer -

Acute angle = 60°

● Explaination -

Let x be the measure of acute angle of rhombus. Then measure of obtuse angle will be 2x.

As we know, adjacent angles of rhombus are supplementary angles.

x + 2x = 180°

3x = 180°

x = 180°/3

x = 60°

Therefore, acute angle of rhombus measures 60°.

* You can also calculate obtuse angle as 2x = 2×60° = 120°.

Thanks dear...

Answer 2

Answer:

◆ Answer -

Acute angle = 60°

● Explaination -

Let x be the measure of acute angle of rhombus. Then measure of obtuse angle will be 2x.

As we know, adjacent angles of rhombus are supplementary angles.

x + 2x = 180°

3x = 180°

x = 180°/3

x = 60°

Therefore, acute angle of rhombus measures 60°.

* You can also calculate obtuse angle as 2x = 2×60° = 120°.

Step-by-step explanation: