Question

Two angles are complementary to one another in such a way that second is double to first angle

Answer 1

$\large{\boxed{\bf{Answer}}}$

These two angles are 30° and 60°.

__________________________

Given :-

• Two angles are complementary to one another.

• Second angle is twice of first angle.

To Find :-

• These two angles.

__________________________

• Let first angle be x

• Second angle = 2x

★ According to question :-

• x + 2x = 90° [ sum of two complementary angles is always 90° ]

=> 3x = 90°

=> x = 90°/3

=> x = 30°

=> 2x = 2 × 30 = 60°

Hence, these two complementary angles are 30° and 60°.

__________________________

Answer 2

Answer :

$\Large\bold{\underline{\mathbf{\red{Given :}}}}$

• Two angles are complementary to one another

• Second angle is double to first angle

$\Large\bold{\underline{\mathbf{\red{To\:Find :}}}}$

• The angles

$\Large\bold{\underline{\mathbf{\red{Sølution :}}}}$

☯ Let the angle be x , then another angle will be 2x .

☯ Sum of two complementary angles = 90°

★ According To The Question :

▶$\sf x\:+\:2x\:=\:90°$

▶$\sf 3x\:=\:90°$

▶$\sf x\:=\: \dfrac{90°}{3}$

☯ $\bold{\boxed{\textsf{\pink{x\:=\:30°}}}}$

☯ $\bold{\boxed{\textsf{\pink{Another \:angle\: = \:2x \:= \:2(30°)\: = \:60°}}}}$

• Two angles are 30° and 60°

-------------------------