Exterior and Remote Interior Angles of a Triangle

Given the following diagram, find the missing measure. m 2 = 40°, m 4 = 150°, m 3 =

110

Given the following diagram, find the missing measure. m 2 = 2x°, m 3 = 5x°, m 1 =

180 - 7x

Given the following diagram, find the missing measure. m 1 = 3x°, m 2 = 4x°, m 3 = 2x°, find x.

20

How many exterior angles does a triangle have?

6

Given the following diagram, find the missing measure. Given: m 2 = 30°, m P =

60

Find the m∠DEC, if m∠BAC = 50° and m∠CBA = 70°.

60 degrees

Given m∠P = 38° and m∠O = 70°, find m∠1.

72

Given the following diagram, find the missing measure. m 1 = 30°, m 2 = 45°, m 3 =

105

Given the following diagram, find the missing measure. m 2 = a°, m 3 = b°, m 4 =

a + b

The two interior angles that are not adjacent to an exterior angle are called ________.

remote interior angles

An exterior angle of a triangle measures 125° and one of the remote interior angles measures 35°. The triangle must be

right

Given the following diagram, find the missing measure. Given: m 2 = 50°, m 1 =

130

Given the following diagram, find the missing measure. Given: m P = 40°, m 1 =

130

Given the following diagram, find the missing measure. m 2 = 50°, m 3 = 100°, m 4 =

150

Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x.

30

Find the m∠CDE, if m∠BAC = 50° and ∠BCA is a right angle.

40 degrees

Given the following diagram, find the missing measure. Given: m P = m 2; m P =

45