Name__________________________________________
Geometry
Angles of a Triangle
Class____________
Ms. Lanci
****This will be the last assignment typed from the workbook*****
WB p. 130 # 1,2,11-14
1. In triangle ABC, an exterior angle at C measures 110 degrees and m<A = 40. The
triangle must be
(1) equiangular
(2) isosceles
(3) obtuse
(4)right
2. In triangle DEF, m<D = x + 10 and m<F = 3x. An exterior angle ar E measures 5x –
20. The triangle must be
(1) equiangular
(2) acute
(3) obtuse
(4) right
11. Find the value of x.
(12x-8)
(4x+6)
(7x-6)
12. Find the value of x.
(12x – 32)
(5x -5)
13. In triangle ABC, m<A is three times larger than m<B. An exterior angle at C
measures 104 degrees. Find m<A.
14. Find the measure of either of the exterior angles formed by extending the base angles
of an isosceles triangle if the vertex angle of the triangle measures 130 degrees.
WB p.74 # 5, 9
5. In triangle ABC, if sides AB and BC are congruent, m<A = 3x + 5 and m<B = 4x – 10,
find m<C.
9. In triangle ABC, m<A = 6x+12, m<B = 8x-8, m<C = 3x+6. What kind of triangle is
triangle ABC? Explain your answer.
WB p. 202 # 1,3,5.
1. In isosceles triangle ABC, AB is congruent to BC. Find the measure of each angle is
m<A = 3x + 4 and m<B = 2x – 4.
3. In isosceles triangle ABC, sides AB and BC are congruent. if m<A = 82 and m<B =
2x, find the value of x.
5. Find the values of x, y and z.
(x)
(y)
(z)
WB p. 194 #8, 9, 12
8. If the measure of each base angle of an isosceles triangle is 42 degrees more than the
measure of the vertex angle, find the measure of all three angles.
9. In triangle PQR, the measures f <P and <Q are in the ratio 3:5 and the measure of <R
is 81 degrees more than the measure of <P. Find the measure of each angle.
12. If three angles of a triangle are in the ratio 1:3:6, what is the degree measure of each
angle?