Question

two complementary angles are given by 2x and 3X - 20 degree the angles are​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Complementary angles are 44° and 46°.

$\mathfrak{\large{\underline{\underline{Explanation :- }}}}$

Given :

The two complementary angles = 2x and (3x - 20)

To Find :

Measures of the angles

Solution :

Complementary angles are the angles which when added make the sum as 90°.

The angles are -

• 2x
• (3x - 20)

★ $\boxed{\sf{2x+(3x-20)=90}}$

$\longrightarrow$ 2x + (3x - 20) = 90

$\longrightarrow$ 2x + 3x - 20 = 90

$\longrightarrow$ 5x - 20 = 90

$\longrightarrow$ 5x = 90 + 20

$\longrightarrow$ 5x = 110

$\longrightarrow$ x = 110/5

$\longrightarrow$ x = 22

$\rule{300}{1.5}$

★ Value of 2x

$\longrightarrow$ 2 × 22

$\longrightarrow$ 44°

$\rule{300}{1.5}$

★ Value of (3x - 20)

$\longrightarrow$ (3 × 22) - 20

$\longrightarrow$ 66 - 20

$\longrightarrow$ 46°

$\therefore$ The Complementary angles are 44° and 46°.

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Add the Measures of the angles and check if the sum up and make 90°.

$\longrightarrow$ 44 + 46

$\longrightarrow$ 90

$\therefore$ The Complementary angles are 44° and 46°.

Answer 2

Answer :- (d) 44°,46°

Given :-

Two complementary angles are 2x and 3x - 20 respectively.

To Find :-

The measurement of the angle

Solution :-

We known the sum of complementary angles is 90°.

Therefore,

2x +(3x - 20) = 90°

5x - 20 = 90°

5x = 90 + 20

5x = 110

x = 110/5

x = 22

Therefore, x = 22

Substituting the value of x in given complementary angles

2x

2(22)

44°

3x - 20

3(22) - 20

66 - 20

46°

Therefore, the two complementary angles are 44° and 46° respectively.