Question

1. The difference in the measures of two complementary angles is 12˚. Find the measures of the angles.

Answer 1

Given ,

The difference in the measures of two complementary angles is 12˚

Let , one angle be x

Then other angle = x + 12

We know that ,

Complementary angles are two angles whose sum is 90 degrees

Thus ,

x + x + 12 = 90

2x + 12 = 90

2x = 78

x = 39

$\therefore{ \sf \underline{The \: measures \: of \: the \: angles \: are \: 39 \: and \: 51 \: </p><p></p><p></p><p>}}$

Answer 2

$\maltese \: \: \tt\pink{given : } \maltese$

• Difference in the measure of two complementary angle is 12°

$\maltese \: \tt\purple{to \: find : } \maltese$

• Measure of angels.

$\maltese \: \tt \red{according \: to \: the \: question : } \maltese$

• Let the angle be x.
• Other angle be x + 12

$\maltese \: \sf \orange{as \: we \: know : } \maltese$

• Complementary angle is 90°

__________________________....

$: \implies \sf \green{x + x + 12 = 90 \degree} \\ : \implies \sf{2x + 12 = 90 \degree} \\ : \implies \sf{2x = {90 \degree} - {12} } \\ : \implies \sf{2x = 78} \\ : \implies \sf{x = \frac{78}{2} } \\ \ \therefore\sf \green{x = 39} \\ \\ \sf \pink{the \: measure \: of \: the \: angles \: are : } \\ \sf{x = 39 \: \: and \: \implies\:x + 12 = 39 + 12 = 51}$