Question

3a+16 and 2a+34 are supplementary angles. Find the value of 'a'

Answer 1

Answer:

Supplementary angles means sum of given 2 angles=180°

3a+16°+2a+34°=180°

5a+50°=180°

5a=130°

a=26°

Hope it helps you Dear...!

Answer 2

Given :

• Supplementary Angles are 3a+16 and 2a+34.

To Find :

• Value of a.

Solution :

As we know that sum of angles of supplementary is 180°.So,

$\longmapsto\tt{3a+16+2a+34=180\degree}$

$\longmapsto\tt{5a+50=180\degree}$

$\longmapsto\tt{5a=180\degree-50\degree}$

$\longmapsto\tt{5a=130\degree}$

$\longmapsto\tt{a=\cancel\dfrac{130}{5}}$

$\longmapsto\tt\bold{a=26\degree}$

So , The value of a is 26..

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VERIFICATION :

$\longmapsto\tt{3(26)+16+2(26)+34=180\degree}$

$\longmapsto\tt{78+16+52+34=180\degree}$

$\longmapsto\tt\bold{180\degree=180\degree}$

HENCE VERIFIED