Question

Angles A and B are complement of each other if angle A= x-20 degree and Angle B = x-30 degree find the measure of both the angles​

Answer 1

Answer :

50 degree and 40degree

Step-by-step explanation :

angle A + angle b is = 90 degree

(x-20) +( X - 30)= 90

2x= 50 + 90

x = 140 / 2

x = 70

angle A= 70 - 20 =50

angle B = 70 - 30 =40

Answer 2

Given:

Angles A and B are complements to each other. Also, angle A= x-20 degree and Angle B = x-30 degree.

To find:

The measure of both the angles.

Solution:

The measure of angle A and angle B is 50° and 40° respectively.

To answer this question, we will follow the following steps:

As we know if two angles A and B are complementary to each other then their sum will be equal to 90°.

This means,

Angle A + angle B = 90°

Now,

As given, we have,

Angle A = (x - 20)° ....(i)

Angle B = (x - 30)° ....(ii)

As both are complementary to each other,

So,

Angle A + angle B = 90°

(x - 20)° + (x - 30)° = 90°

2x - 50 = 90

2x = 140

x = 70°

Now,

On putting the value of x in (i) and (ii), we have

angle A = 50°

and

angle B = 40°

Hence, the measure of angle A is 50° and angle B is 40°.