Pair Diagonal Cut

Pair Diagonal Cut

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Pair Diagonal Cut
I need help on these math problems?

1.Two parallel lines cut by transversal. A pair of alternate exterior angles are portrayed one angle is 9x
and the other angle is (7x + 30) find the value of X
A)9
B)15
C)30
D)10

2. Lines B C and D E are cut by transversal A D. Angle C B D measures ( 16x +3) Angle B D E measure (4x - 3)
Find the M A)9
B)33
C)141
D)147

3. Parallelogram A B C D with diagonal A C. Angle B A C measures (14x - 5)
Angle A C D measures (3x + 19) Find the M

A) 3
B)8
C)37
D)67

"by the way The letter m is used to indicate the measure of an angle or arc.

I'll help with #1

Alternate exterior angles have the same measure or value. So, if one is (9x) and the other is(7x+30), they can be set = to each other.

9x=7x+30
2x=30
x=15 So, 9x=9(15)=135
(7x+30)=105+30=135

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