Question

the measure of two supplimentary angle are in the ratio 4:11 . what is the measure of the greater angle. 154 degree​

Answer 1

Given :

• The measure of two supplimentary angle are in the ratio 4:11.

To Find :

• The measure of the greater angle.

Solution :

We know that,

• Sum of two supplimentary angles = 180°

Let's Assume,

• The first angle be 4x
• The second angle be 11x

According to the Question :

• Sum of two supplimentary angles = 180°
• 4x + 11x = 180°
• 15x = 180
• x = 180/15
• x = 12

On comparing both the ratios we get to know that 11x is the greater angle.

Measure of the Greater angle :

• The greater angle = 11x
• The greater angle = 11 × 12
• The greater angle = 132°

Therefore :

• The greater angle is 132°

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