Respuesta :

Nayefx

Answer:

[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]

Step-by-step explanation:

we are given two angles

we are want to figure out the missing angle

remember,

Straight line theorem

so we acquire

[tex] \displaystyle \angle3 + \angle4 = {180}^{ \circ} [/tex]

substitute the value of the given angle:

[tex] \displaystyle \angle3 + {90}^{ \circ} = {180}^{ \circ} [/tex]

cancel 90° from both sides:

[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]

hence, the measure of the missing angle is 90°

msm555

Answer:

Solution given:

<4=90°

<3+<4=180°[sum of pair of line is supplementary]

<3=180°-90°

<3=90°is a required answer.