19. If CD _|_ EF, M<ECH = x + 5 and m<HCD = 3x - 7 find each missing value. G# F
a) x =
b) m<ECH=
c) m<HCD=
d) m<GCF =
e) m<ECG=
f) m<GCD =

Given:

Note the following:

Since CD is perpendicular to EF, therefore:

Thus:

a. Find x

Substitute

Add like terms

Divide both sides by 4

b. Find

Plug in the value of x

c. Find

d. Find

(vertical angles are congruent)

Substitute

e. Find

(angles on a straight line)

Substitute

f. Find

Substitute

Therefore:

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b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

(a) the volume of the cone is 20/3 in3

hence, option a is correct.