Question

Two angles are complemantary. The largest
angle is 3° less then twice measure of
smaller angle. Find measure of each angle​

Answer 1

Step-by-step explanation:

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Answer 2

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

The angles are 31° and 59°.

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

Given :

Greater angle = 3° less then twice measure of smaller angle

To Find :

Measure of each angle

Solution :

◆ $\textbf{\small{\underline{Consider the -}}}$

• Smaller angle as x
• Greater angle as (2x - 3)

Complementary angles are the angles which are adjacent pairs of angles and their sum is 90°.

★ $\boxed{\bf{x+(2x-3)=90}}$

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

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

$\longrightarrow$ 3x - 3 = 90

$\longrightarrow$ 3x = 90 + 3

$\longrightarrow$ 3x = 93

$\longrightarrow$ x = 93/3

$\longrightarrow$ x = 31°

Smaller angle = 31°

$\rule{300}{1.5}$

★ Value of (2x - 3)

$\longrightarrow$ 2(31) - 3

$\longrightarrow$ 62 - 3

$\longrightarrow$ 59°

Greater angle = 59°

$\therefore$ The angles are 31° and 59°.