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

Interactive MCQs on the topic โ€œUnderstanding How To Calculate Angles Formed By Bisectorsโ€:

Solve the following 10 questions: Only one option is correct. Click on the โ€œSubmitโ€ button when done. Click on the โ€œembedโ€ button to use this quiz on your website. Click on โ€œWhatsAppโ€ to share this quiz.

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

(A) 30ยฐ
(B) 35ยฐ
(C) 40ยฐ
(D) 45ยฐ

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

(A) 50ยฐ
(B) 56ยฐ
(C) 54ยฐ
(D) 60ยฐ

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

(A) 45ยฐ
(B) 30ยฐ
(C) 60ยฐ
(D) 75ยฐ

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

(A) 60ยฐ
(B) 45ยฐ
(C) 75ยฐ
(D) 90ยฐ

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

(A) 60ยฐ
(B) 70ยฐ
(C) 82ยฐ
(D) 90ยฐ

Question 6:Ray KL bisects โˆ JKM. If โˆ JKL = 2๐‘ฅ + 5 and โˆ LKM = 3๐‘ฅ โ€“ 10, what is ๐‘ฅ?

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

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

(A) 40ยฐ
(B) 30ยฐ
(C) 50ยฐ
(D) 45ยฐ

Question 8:If an angle is bisected and the total angle is 2๐‘ฅ + 10, what is the measure of each smaller angle?

(A) ๐‘ฅ + 5
(B) ๐‘ฅ โ€“ 5
(C) ๐‘ฅ + 10
(D) ๐‘ฅ + 5

Question 9:Two angles formed by a bisector are labeled (4๐‘ฅ โ€“ 6) and (2๐‘ฅ + 18). Find ๐‘ฅ.

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

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

(A) 60ยฐ
(B) 50ยฐ
(C) 70ยฐ
(D) 80ยฐ