The value of angle CAD is 115⁰. Option d
What is exterior angle postulate?
The Exterior Angle Theorem: It states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
From the figure
Angle CAD = 90 + 25 (exterior angle postulate)
= 115⁰
Or
AngleCAB + 90 + 25 = 180(sum of angles in a triangle)
CAB = 180- (115)
= 65⁰
Therefore,
CAD + CAB = 180(linear angles)
CAD = 180 - 65
= 115⁰
The value of angle CAD is 115⁰
Complet question
What is \(m\angle CAD\)?
a) 25º
b) 90º
c) 100º
d) 115º