Question

Two angles of a triangle are 90° and 40°. The measure of the exterior angle at the third vertex is

Answer 1

Answer:

50°

Step-by-step explanation:

180-(90+40)

50

sum of 3 angles of a triangle is 180°

Answer 2

1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. parallel to the side BC of the given triangle. Thus, the sum of the interior angles of a triangle is 180°.

Given: Two angles of a triangle are $90^{\circ }$ and $40^{\circ }$.

Find the measure of the exterior angle

According to the question

An Exterior angle equal to the sum of the opposite angle

i.e

$\angle ACD=\angle ABC+\angle BAC$

$=90^{\circ }+40^{\circ }$

$=130^{\circ }$