Answer:
14) <CBE = 118°
15) <ABF = 28°
16) <CBA = 152°
17) <B = 18° and <A = 72°
18) <E = 30° and <D = 150°
Step-by-step explanation:
14)
<CBE = 180 - <EBF = 180 - 62 = 118°
15)
<ABF = 90 - <EFB = 90 - 62 = 28°
16)
<CBA = 180 - <ABF = 180 - 28 = 152°
17)
<A = 4 <B
<A + <B = 90° (sum of complementary angles) so <A = 90 - <B
Substitute <A = 90 - <B into <A = 4 <B
90 - <B = 4 <B
90 = 4 <B + <B
90 = 5<B
<B = 90/5
<B = 18°
<A = 90 - 18° = 72°
18)
<D = 5 <E
<D + <E = 180° (sum of complementary angles) so <D = 180 - <E
Substitute < <D = 180 - <E into <D = 5 <E
180 - <E = 5 <E
180 = 5 <E + <E
180 = 6 <E
<E = 180/6
<E = 30°
<D = 180 - 30° = 150°
