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emmainna [20.7K]
3 years ago
9

The answer to the question above accurate please

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

x = <u>132</u> degrees

Step-by-step explanation:

To help explain, lets add some letters to designate those line intersections.

Starting at x, label that intersection O, then go up-right to that intersection and label that P, then go down-right to that intersection and label that Q, then go up-right and name that R, then go down-right and label that S, finally go right to that intersection and label that T.

Angle TRS = 12 degrees because  isosceles triangle so TRS = a = 12 degrees.

Angle RST = 180-12-12 = 156 degrees.

Angle QSR is supplementary to RST so it is 24 degrees.

Angle RQS = 24 degrees because isosceles.

Angle QRS = 180-24-24 = <u>132</u> degrees.

Angle PRQ = 180-12-<u>132</u> = <u>36</u> degrees.

Angle PRQ = <u>36</u> degrees because isosceles.

Angle PQR = 180-<u>36</u>-<u>36</u> = <u>108</u> degrees.

Angle PQO = 180-24-<u>108</u> = <u>48</u> degrees.

Angle POQ = <u>48</u> degrees because isosceles.

Angle x = 180 -<u>48</u> = <u>132</u> degrees because it is supplementary.

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