Question

find x,y,z in the following
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Answer 1

Answer:

z is 125

y is 55

x is 10

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Answer 2

Answer:

X=100, Y=55, Z=125

Step-by-step explanation:

∠RPQ+∠RQP+∠PRQ=180  (ANGLE SUM PROPERTY)

15+40+Z=180

55+Z=180

Z=180-55

∴Z=125

∠PRQ+∠TRS=180  (LINEAR PAIR)

Z+Y=180

125+Y=180

Y=180-125

∴Y=55

∠TRS+∠RTS+∠RST=180  (ANGLE SUM PROPERTY)

Y+∠RTS+45=180

55+45+∠RTS=180

100+∠RTS=180

∠RTS=180-100

∴∠RTS=80

∠RTS+∠STP=180  (LINEAR PAIR)

80+X=180

X=180-80

∴X=100

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