Question

if two complementaty angle are such that two times the measure of one is equal to three times the measure of the other find the measure of larger angle​

Answer 1

Answer :

›»› The measure of larger angle = 54°

Given :

• Two complementary angle are such that two times the measure of one is equal to three times the measure of the other.

To Find :

• The measure of larger angle = ?

Required Solution :

Here in this question, we have to find the measure of larger angle, So, firstly we have to consider the angle one be x and the complementary angle be (90 - x). Then, we can frame the solution to get result of measure of larger angle$.$

Let ,

The angle one be "x" and the complementary angle be "90 - x"

Here in this question we are provided that, Two complementary angle are such that two times the measure of one is equal to three times the measure of the other.

So ,

⇛ 2x = 3(90 - x)

⇛ 2x = 270 - 3x

⇛ 2x + 3x = 270

⇛ 5x = 270

⇛ x = 270/5

⇛ x = 54

Now ,

➝ Angle one = x

➝ Angle one = 54°

➝ Complementary angle = 90 - x

➝ Complementary angle = 90 - 54

➝ Complementary angle = 36°

Now we see that the measure of Angle one is larger than the measure of Complementary angle so the larger angle is Angle one.

║Hence, the measure of larger angle is 54°.║