Page 28 - Senior Math
P. 28
Use the diagram below to answer each of the following.
B
A
F
E H
1) β πΈπΆπΉ = 98o, β πΆπΉπΈ = 54o, find β πΆπΈπΉ
G I
D
2) β π·πΈπΆ = 140o , β πΈπΉπΆ = 45o , find β πΉπΈπΆ and β πΈπΆπΉ
3) What relationship does β πΌπΉπΈ have with β πΉπΈπΆ and β πΈπΆπΉ?
A
C
4) If πΆπΈ = πΆπΉ and β πΆπΉπΈ = 38o, find the measure of all the other angles.
5) Ifβ π·πΈπΆ=3π₯andβ πΉπΈπΆ=2π₯+5,findx.
6) If β πΆπΈπΉ = 2π₯ β 3, β πΈπΉπΆ = 6π₯ + 5, and β πΉπΆπΈ = 2π₯ + 8. Find the measure of these three angles.
7) β π·πΈπΆ, β πΌπΉπΈ, and β π΅πΆπΉ are exterior angles of the triangle. What is the sum of their measures?
8) If all of the angles in the figure were added, what would the sum be?
27
