Answer:
See below.
Step-by-step explanation:
1.
(a) < PMR
(b) < QMR
(c) < QMN
(d) < RMN
2. m < C = 4x - 6
= 4(25) - 6
= 100 - 6
= 94 so < C is obtuse.
3. 8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11.
4.
(a). < DBA and < DBC are right angles (90 degrees) because BD is perpendicular to AC.
(b) < DBA and < DBC are adjacent and they share the ray BD.
(c) < DBe and < ABE are complementary.
(d) < DBA and < DBC are supplementary
(e) 90 - 40 = 50 degrees
(f) 180 - 40 = 140 degrees.
(g) As the angles are complementary
3x + 2 + 4x + 4 = 90
7x = 90 - 2 - 4
7x = 84
x = 12.
