Understanding How To Calculate Angles Formed By Bisectors – Multiple Choice Questions Quiz

Interactive MCQs on the topic “Understanding How To Calculate Angles Formed By Bisectors”:

Solve the following 10 questions: Only one option is correct. Click on the “Submit” button when done. Click on the “embed” button to use this quiz on your website. Click on “WhatsApp” to share this quiz.

Question 1:An angle measures 70°. What is the measure of each angle formed after bisecting it?

(A) 30°
(B) 35°
(C) 40°
(D) 45°

Question 2:∠XYZ is 108°. Ray YW bisects the angle. Find the measure of ∠XYW.

(A) 50°
(B) 56°
(C) 54°
(D) 60°

Question 3: If ray BD bisects ∠ABC and ∠ABC = 90°, what is ∠ABD?

(A) 45°
(B) 30°
(C) 60°
(D) 75°

Question 4:A straight angle (180°) is bisected by ray OM. What is the measure of each resulting angle?

(A) 60°
(B) 45°
(C) 75°
(D) 90°

Question 5:An angle is bisected and one of the resulting angles measures 41°. What was the original angle?

(A) 60°
(B) 70°
(C) 82°
(D) 90°

Question 6:Ray KL bisects ∠JKM. If ∠JKL = 2𝑥 + 5 and ∠LKM = 3𝑥 – 10, what is 𝑥?

(A) 10
(B) 15
(C) 20
(D) 25

Question 7:In triangle PQR, ∠P is 80°, and it is bisected by ray PS. What is ∠QPS?

(A) 40°
(B) 30°
(C) 50°
(D) 45°

Question 8:If an angle is bisected and the total angle is 2𝑥 + 10, what is the measure of each smaller angle?

(A) 𝑥 + 5
(B) 𝑥 – 5
(C) 𝑥 + 10
(D) 𝑥 + 5

Question 9:Two angles formed by a bisector are labeled (4𝑥 – 6) and (2𝑥 + 18). Find 𝑥.

(A) 8
(B) 10
(C) 12
(D) 14

Question 10:An exterior angle of a triangle is bisected. If the exterior angle is 120°, what is the measure of each resulting angle?

(A) 60°
(B) 50°
(C) 70°
(D) 80°