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In the given figure, ΔXYZ and …

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In the given figure, ΔXYZ and ΔPYZ are two isosceles triangle on the same base YZ with XY = XZ and PY = PZ. If P = 120° and XYP = 40°, then find YXZ.

Posted by Sana Tomar 5 years, 2 months ago

CBSE > Class 09 > Mathematics

3 answers

Abhishek Jha 5 years, 2 months ago

It is a isosceles triangle Angle p =120 It is a isosceles triangle Angle y=z By (linear pair) 180-120=60 60÷2 60

0Thank You

Yogita Ingle 5 years, 2 months ago

Consider triangle YPZ

Angle P=120

It is a isosceles triangle so

Angle Y=Z

Linear pair

180-120=60

60/2 = 30

Bisector Y=30+20

y = 50

1Thank You

Yogita Ingle 5 years, 2 months ago

In ∆ PYZ,

<YPZ =120°

PY=PZ

.'.<PYZ= 180°-120°/2=60°/2=30°

'.'<XYP= 40°

.'. <XYZ = 40° + 30° = 70°

1Thank You

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CBSE > Class 09 > Mathematics