Question

If the complement of an angle is 76° then the angle will be of

Answer 1

Answer:

7° and 83°

Step-by-step explanation:

✯✯Given✯✯

An angle measures 76° more than the measure of its complementary angle.

Let the smaller angle be 'x'.

Then according to the question,

Bigger angle= x+76°

☛Note:

Complementary angles are those angles whose sum is equal to 90°.

Therefore,

x+x+76°= 90°

[Since, both angles are complementary angles]

⇒ 2x= 90°-76°

⇒ 2x= 14°

\implies\sf{x=\dfrac{14}{2} ={7}^{\circ}}⟹x=

2

14

=7

∘

\bf{Hence,}Hence, \bf {\purple{Smaller\:angle=x={7}^{\circ}}}Smallerangle=x=7

∘

\bf {\green{Bigger\:angle=x+{76}^{\circ}={7}^{\circ}+{76}^{\circ}={83}^{\circ}}}Biggerangle=x+76

∘

=7

∘

+76

∘

=83

∘

Answer 2

Answer:

14

Step-by-step explanation:

let the angle be =x

complement of angle =76

A/Q

x+76 =90

x = 90-76

x = 14

so, angle =14