Question

I need help with both of these! (The red one is a different problem so is the green one & ill bee posting more XD)

Answer 1

$\huge{\boxed{\tt{Solution:}}}$

In First Question :

We know that measure of straight angle is 180°.

$\sf{5x + 13x= 180 \: \: [By \: linear \: pair]}$

$\bf{\therefore{Answer\:is\:(c)\:5x + 13x= 180.}}$

In Second Question :

We know that two angles are said to be complementary if sum of both angles is 90°.

$\sf{ : \implies { \angle a +\angle b = {90}^{\circ}}} \\ \\ \sf{ : \implies { \angle{{32}^{\circ}+{\angle {b = {90}^{\circ}}}}}} \\ \\ \sf{ : \implies {\angle b = \angle{{(90 -32 )}^{\circ}}}} \\ \\ \sf{ : \implies {\angle b = {58}^{\circ}}}$

$\bf{\therefore{The\:measure\:of\:{\angle b}\:is\: {{58}^{\circ}}.}}$

$\rule{307}{2}$