Question

two complementary angle differ by 34°.Find the angles​

Answer 1

☆ Solution ☆

Given :-

• Two complementary angle differ by 34°.

To Find :-

• The angles.

Step-by-Step-Explaination :-

Let 1st angle be x

Then, 2nd angle be 90 - x

According to the question,

x - ( 90 - x ) = 34

x - 90 + x = 34

2x = 34 + 90

2x = 124

x = 124/2

x = 62

Hence,

The angles are :-

1st angle = x = 62°

2nd angle = 90 - x = 90 - 62° = 28°

Answer 2

Given:

two complementary angle differ by 34°

To Find:

the complementary angles

Solution:

now, we know that sum of two complementary angles is:$\bf\blue{90°}$

so,let the angles be x and x+34

$\sf : ⟹ x + x + 34 = 90 \\ \\ \sf : ⟹2 x + 34 = 90 \: \: \: \: \: \\ \\ \sf : ⟹2 x = 90 - 34 \: \: \: \: \: \\ \\ \sf : ⟹2 x = 56 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf : ⟹ x = \frac{56}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \orange{ : ⟹ x = 28} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\sf {\underline{★According \: to \: the \: question : }}$

now,

$\tt \blue{ \therefore \: the \: angles \: are : } \: \: \: \: \: \: \: \: \\ \\ \tt ⇒x = 28 \: degrees \: \: \: \: \: \: \: \: \: \\ \\ \tt \ ⇒x + 34 = 62 \: degrees$

hope this helps.!!