Verified answer

Answer:

A)

x = 34°

y = 77°

B)

x=47°

y=99°

Step-by-step explanation:

A)

In Triangle SPQ,

LPSQ = x (Opp. Angles of Equal Sides)

112° + 2x = 180° (Angle Sum Property)

2x = 180°-112° = 68°

x = 68°/2 = 34°

In Triangle QSR,

LRSQ = 180°-(57°+80°) {Angle Sum Property}

LRSQ = 180° - 137 ° = 43°

y = x + LRSQ = 43°+34° = 77°

B) In Triangle RWQ,

LWRQ = 26° (Vertically Opposite Angles)

Note that PQRS is a Parallelogram.

73 ° = x + 26° (Opposite Angles of a Parallelogram)

x = 73°-26° = 47°

LQRT = 180°-LR = 180°- 73° = 107° (Linear Pair)

LQRT = 107° = LWRQ + LRWQ (Exterior Angle Theorem)

107°-26° = LRWQ = 81°

y + LRWQ = 180° (Linear Pair)

y = 180°-81° = 99°

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Answer:

These are answers of 2 figures

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