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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the correct answer to your question is a. 4^4

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