Respuesta :

[tex]\huge{\boxed{\tt{Solution:}}}[/tex]

In First Question :

We know that measure of straight angle is 180°.

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

[tex]\bf{\therefore{Answer\:is\:(c)\:5x + 13x= 180.}}[/tex]

In Second Question :

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

[tex]\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}}}[/tex]

[tex]\bf{\therefore{The\:measure\:of\:{\angle b}\:is\: {{58}^{\circ}}.}}[/tex]

[tex]\rule{307}{2}[/tex]