Question

One of the complementary angles is greater than other by 14°. Find the measureof smaller angle. *​

Answer 1

Answer:

GIVEN -

• One complementary angle is greater than other by 14°

TO FIND -

• The smaller angle

SOLUTION -

We know that sum of complementary angle is 90°

Let one angle be X

other angle = X + 14

X + X + 14 = 90°

2x + 14 = 90°

2x= 90- 14

2x= 76

x= 76/2

x= 38°

X+ 14 = 38 + 14 = 52°

MORE TO KNOW -

• The complementary angle of 45° is 45

• The suplementary angle of 90° is 90°

• The sum suplementary angles is 90°

Answer 2

Given:

• Measure of one complementary angle is greater than other by 14°

To find:

• The measure of the smaller angle

Solution:

We know that ,

Sum of complementary angles=90°

Let the measure of smaller angle be x

The first angle will be x+14 (As it is given that the measure is greater than the smaller angle.).

A/Q

⇝x+14+x=90

⇝x+x=90-14

⇝2x=76

⇝x=76/2

⇝x=38

Therefore,the measure of smaller angle is 38°

And the other angle is x+14⇝38+14=52.

Verification:

⟾x+14+x=90°

⟾38+14+38=90°

⟾52+38=90°

⟾90°=90°

Hence,L.H.S.=R.H.S.

Therefore,Verified.