Question

find the measures and please answer​

Answer 1

Answer:

x=37°

y=53°

z=115°

Step-by-step explanation:

this is the answer

Answer 2

In the given figure:

• PQ is perpendicular to PS.
• PQ is parallel to SR.
• ∠Q = 28°
• ∠R = 65°

To find:

• Measure of angle x, y and z.

Solution:

ATQ,

• ∠x + ∠Q = ∠R⠀(Alternate angles are equal)

➯ ∠x + 28° = 65°

➯ ∠x = 65° - 28°

➯ ∠x = 37°

Hence, the measure of ∠x is 37°.

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Now, in ∆PQS,

➯ ∠y + ∠x + ∠P = 180°⠀(Sum of all angles of a ∆)

➯ ∠y + 37° + 90° = 180°

➯ ∠y + 127° = 180°

➯ ∠y = 180° - 127°

➯ ∠y = 53°

Hence, the measure of ∠y is 53°.

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