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}`