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The triangle POR is


Question

The triangle POR is

Options

A) an isosceles triange

B) an obtuse angle

C) a scalene triangle

D) an equilateral triangle

The correct answer is A.

Explanation:

< PRQ = 180\(^{\circ}\) - 128\(^{\circ}\) = 52\(^{\circ}\) = < R

< P + < R + < Q = 180\(^{\circ}\)

76\(^{\circ}\) + 52\(^{\circ}\) + < Q = 180\(^{\circ}\)

128\(^{\circ}\) + < Q = 180\(^{\circ}\)

< Q = 180\(^{\circ}\) - 128\(^{\circ}\)

= 52\(^{\circ}\)

\(\bigtriangleup\)PQR is an isosceles


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Dicussion (1)

  • < PRQ = 180\(^{\circ}\) - 128\(^{\circ}\) = 52\(^{\circ}\) = < R

    < P + < R + < Q = 180\(^{\circ}\)

    76\(^{\circ}\) + 52\(^{\circ}\) + < Q = 180\(^{\circ}\)

    128\(^{\circ}\) + < Q = 180\(^{\circ}\)

    < Q = 180\(^{\circ}\) - 128\(^{\circ}\)

    = 52\(^{\circ}\)

    \(\bigtriangleup\)PQR is an isosceles

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