Select Page

Congruent Angles

Congruent angles are two or more angles with equal measures in degrees as well as in radians. The direction or length of the lines does not make any difference on congruency.

thatha

We know that all angles in an equilateral measure the same; that is 60°.

triamgle

So, the angles in an equilateral triangle are congruent angles.

Example: If line CD bisects another line AB at the point O, then which of the following is true?

intersect-lines

A) ∠AOB ≅ ∠AOD

B) ∠COB  ≅ ∠BOD

C) ∠AOD  ≅ ∠COB

D) ∠COD  ≅ ∠AOC

∠AOD  ≅ ∠COB as these are vertically opposite angles and hence their measure is the same.

madam

  1. Which are the congruent angles in the given triangles?

triangle

2. What is the value of x if the given two angles are congruent?

angles

3.Find the value of b.

X

4.What is the value of x, if in the given triangles, ∠ABC ≅ ∠RPQ?

5.Do congruent angles measure the same in degrees and radians?

Answer key
  1. ∠ACB ≅ ∠PRQ
  2. 34
  3. 40°
  4. 47°
  5. Yes

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. Come to eTutorWorld for Expert Tutors and best K-12 Online Tutoring Services in the comfort and safety of your home at an affordable cost. Find a tutor online for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. Get free printable math and science worksheets in pdf format and SCAT Practice Tests. Sign up for a Free Trial Lesson Today!

© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved