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Missing Angles in Congruent Triangles for 8th Grade

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Triangle ABC is congruent to triangle DEF. If angle A measures 50 degrees, what is the measure of angle D?

a)

70 degrees

b)

30 degrees

c)

90 degrees

d)

50 degrees

2.

In a park, two triangular flower beds are congruent. If one bed has angles measuring 40 degrees and 60 degrees, what are the measures of the angles in the other bed?

a)

50 degrees, 60 degrees, 70 degrees

b)

40 degrees, 60 degrees, 80 degrees

c)

30 degrees, 60 degrees, 90 degrees

d)

40 degrees, 50 degrees, 90 degrees

3.

Two ladders form congruent triangles with the ground. If one ladder makes a 30-degree angle with the ground, what is the angle made by the other ladder?

a)

90 degrees

b)

45 degrees

c)

30 degrees

d)

60 degrees

4.

A triangular roof has two congruent sides. If one angle measures 70 degrees, what is the measure of the third angle?

a)

60 degrees

b)

50 degrees

c)

30 degrees

d)

40 degrees

5.

In a triangle, if angle X is 45 degrees and triangle XYZ is congruent to triangle ABC, what is the measure of angle A?

a)

90 degrees

b)

60 degrees

c)

45 degrees

d)

30 degrees

6.

Two roads form congruent triangular intersections. If one intersection has an angle measuring 80 degrees, what is the corresponding angle in the other intersection?

a)

60 degrees

b)

90 degrees

c)

80 degrees

d)

100 degrees

7.

A triangular piece of land has two sides that are equal in length. If one angle measures 55 degrees, what is the measure of the other angle?

a)

50 degrees

b)

75 degrees

c)

62.5 degrees

d)

70 degrees

8.

In a construction project, two triangular supports are congruent. If one support has angles measuring 30 degrees and 60 degrees, what are the angles of the other support?

a)

45 degrees, 45 degrees, 90 degrees

b)

30 degrees, 60 degrees, 90 degrees

c)

60 degrees, 60 degrees, 60 degrees

d)

30 degrees, 45 degrees, 105 degrees

9.

Triangle GHI is congruent to triangle JKL. If angle G measures 75 degrees, what is the measure of angle J?

a)

90 degrees

b)

60 degrees

c)

75 degrees

d)

45 degrees

10.

Two triangular sails on a boat are congruent. If one sail has an angle measuring 45 degrees, what is the measure of the corresponding angle on the other sail?

a)

60 degrees

b)

30 degrees

c)

90 degrees

d)

45 degrees