Question

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Answer 1

$\huge\purple{\boxed{\boxed{Answer}}}$

y = 53°

x = 37°

Step-by-step explanation:

∠SRQ  + ∠QRT = 180°

∠SRQ = 180° - 65°

∠SRQ = 115°

∠SRQ + ∠SQR + ∠QSR = 180°(The interior angles of a triangle measure 180°)

115° + 28° + ∠QSR = 180°

∠QSR = 180° - 115° - 28°

∠QSR = 37°

∠QSR + ∠PSQ = 90°

37° + ∠PSQ = 90°

∠PSQ = 90° - 37°

∠PSQ = 53°

∴ y = 53°

∠SPQ + ∠PSQ + ∠PQS = 180°(The interior angles of a triangle measure 180°)

90° + 53° + ∠PQS = 180°

∠PQS = 180° - 90° - 53°

∠PQS = 37°

∴ x = 37°

$\pink{\boxed{\boxed{Hope \: this \: helps \: you}}}$

Answer 2

y = 53°

x = 37°

Step-by-step explanation:

∠SRQ  + ∠QRT = 180°

∠SRQ = 180° - 65°

∠SRQ = 115°

∠SRQ + ∠SQR + ∠QSR = 180°(The interior angles of a triangle measure 180°)

115° + 28° + ∠QSR = 180°

∠QSR = 180° - 115° - 28°

∠QSR = 37°

∠QSR + ∠PSQ = 90°

37° + ∠PSQ = 90°

∠PSQ = 90° - 37°

∠PSQ = 53°

∴ y = 53°

∠SPQ + ∠PSQ + ∠PQS = 180°(The interior angles of a triangle measure 180°)

90° + 53° + ∠PQS = 180°

∠PQS = 180° - 90° - 53°

∠PQS = 37°

∴ x = 37°

Hope it will helps you ❤️