Question

measurement of one angle of complementary angle is 10°more than what will be the measurement of the both of the angles​

Answer 1

Answer:

The angles are 50° and 40°.

Step-by-step explanation:

Angles are = Complementary angles

One angle is = 10° more than other angle

Let angles be

• x
• (x + 10)

Complementary angles are the angle that sum up to 90°.

⇒ x + (x + 10) = 90

⇒ 2x + 10 = 90

⇒ 2x = 90 - 10

⇒ 2x = 80

⇒ x = 80/2

⇒ x = 40°

One angle = 40°

Other angle :

⇒ 40 + 10

⇒ 50°

Therefore, the angles are 50° and 40°.

Answer 2

Answer:

Given :-

• A measurement of one angle of complementary angle is 10° more than the other angles.

To Find :-

• What are the two angles.

Solution :-

Let, the first angle be x

And, the second angle will be x + 10°

According to the question,

↦ $\sf x + x + 10^{\circ} =\: 90^{\circ}$

↦ $\sf 2x + 10^{\circ} =\: 90^{\circ}$

↦ $\sf 2x =\: 90^{\circ} - 10^{\circ}$

↦ $\sf 2x =\: 80^{\circ}$

↦ $\sf x =\: \dfrac{\cancel{80^{\circ}}}{\cancel{2}}$

➠ $\sf\bold{\green{x =\: 40^{\circ}}}$

Hence, the required angles are :

➲ First angle :

↦ $\sf x$

➦ $\sf\bold{\red{40^{\circ}}}$

And,

➲ Second angle :

↦ $\sf x + 10^{\circ}$

↦ $\sf 40^{\circ} + 10^{\circ}$

➦ $\sf\bold{\red{50^{\circ}}}$

$\therefore$ The angles are 40° and 50°.