Find the value of X (geometry)

x=12

Step-by-step explanation:

the (8x-17)° and (5x+19)° angles are corresponding angles

since lines are parallel and cut by a transversal, this means that these angles are congruent

to find x:

8x-17=5x+19

3x-17=19

3x=36

x=12

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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