From the following figure find x + y + z.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 120º.
An exterior angle of a triangle is equal to the sum of the two interior opposite angles
According to the concept,
Considering triangle ACD , y + 110° = 120°
⇒ y = 10°
Considering triangle ABC the sum of two interior angles of a triangle is equal to the exterior angle of the third angle.
hence, x + z = 110°
⇒ 110° + 10°= 120°
The measure of x + y + z is 120°.