Geometry- Triangle Angle Theorems
assignment Test With Verified Solutions
What is the value of x? CORRECT ANSWERS 98
What is the value of k? CORRECT ANSWERS 10
What is the measure of ∠EGF?
What is the measure of ∠CGF? CORRECT ANSWERS 65
115
What is the measure of ∠ABD? CORRECT ANSWERS c. 114
Which represents an exterior angle of triangle XYZ? CORRECT ANSWERS c. JXZ
Given: m || CB
Prove: m∠ABC + m∠BAC + m∠ACB = 180°
Which statement justifies that angle XAB is congruent to angle ABC? CORRECT
ANSWERS d. Alternate interior angles of parallel lines cut by a transversal are
congruent.
Which statements are always true regarding the diagram? Check all that apply.
CORRECT ANSWERS -m∠3 + m∠4 = 180°
-m∠2 + m∠4 + m∠6 = 180°
-m∠2 + m∠4 = m∠5
Use the diagram showing m || n, as well as the relationships between interior and
exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is _____.
The measure of angle BAC is _____.
The measure of angle ACB is _____. CORRECT ANSWERS 60
50
70
Given: ΔABC
Prove: m∠ZAB = m∠ACB + m∠CBA
We start with triangle ABC and see that angle ZAB is an exterior angle created by the
extension of side AC. Angles ZAB and CAB are a linear pair by definition.
We know that m∠ZAB + m∠CAB = 180° by the ______.
We also know m∠CAB + m∠ACB + m∠CBA = 180° because ______ .
assignment Test With Verified Solutions
What is the value of x? CORRECT ANSWERS 98
What is the value of k? CORRECT ANSWERS 10
What is the measure of ∠EGF?
What is the measure of ∠CGF? CORRECT ANSWERS 65
115
What is the measure of ∠ABD? CORRECT ANSWERS c. 114
Which represents an exterior angle of triangle XYZ? CORRECT ANSWERS c. JXZ
Given: m || CB
Prove: m∠ABC + m∠BAC + m∠ACB = 180°
Which statement justifies that angle XAB is congruent to angle ABC? CORRECT
ANSWERS d. Alternate interior angles of parallel lines cut by a transversal are
congruent.
Which statements are always true regarding the diagram? Check all that apply.
CORRECT ANSWERS -m∠3 + m∠4 = 180°
-m∠2 + m∠4 + m∠6 = 180°
-m∠2 + m∠4 = m∠5
Use the diagram showing m || n, as well as the relationships between interior and
exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is _____.
The measure of angle BAC is _____.
The measure of angle ACB is _____. CORRECT ANSWERS 60
50
70
Given: ΔABC
Prove: m∠ZAB = m∠ACB + m∠CBA
We start with triangle ABC and see that angle ZAB is an exterior angle created by the
extension of side AC. Angles ZAB and CAB are a linear pair by definition.
We know that m∠ZAB + m∠CAB = 180° by the ______.
We also know m∠CAB + m∠ACB + m∠CBA = 180° because ______ .
