Math, asked by jayaloges1977, 1 month ago

AXYZ and A PYZ are two isosceles triangle on the same base YZ with XY=XZ and PY=PZ. If <P=110° and <XYP-30-,then find <YXZ​

Answers

Answered by llSparklingSTARll
2

<YXZ = 50°

Explanation:

Given:

<P = 110°

<XYP = 30° then,

<XZP = 30°

Solve:

Let <PYZ and <PZY be x.

So,

110° + x + x = 180° [Sum of angle of a triangle is 180°]

=> 110° + 2x = 180°

=> 2x = 180° - 110°

=> 2x = 70°

=> x = 35°

Hence, <PYZ = x = 35° and <PZY = x = 35°

Then,

<XYZ + <YZX + <YXZ = 180° [Sum of angle of a triangle is 180°]

(<XYP+<PYZ)+(<XZP+<PZY)+<YXZ = 180°

=> (30° + 35°) + (30° + 35°) + <YXZ = 180°

=> 65° + 65° + <YXZ = 180°

=> 130° + <YXZ = 180°

=> <YXZ = 180° - 130° = 50°

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