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I NEED HELP ON THIS BADLY PLEASE!!!! IM GIVING LOTS OF POINTS AND BRAINLIEST!!! This is due today so it would help so so much if someone can help me with this please

I NEED HELP ON THIS BADLY PLEASE IM GIVING LOTS OF POINTS AND BRAINLIEST This is due today so it would help so so much if someone can help me with this please class=

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1frogaroni

Answer:

Value of x is 3.

Step-by-step explanation:

Given : TQ ≅ QR or TQ = QR

To find: Value of x

Consider,

In Δ STQ  and Δ SRQ

∠STQ = ∠SRQ = 90°

SQ ≅ SQ (common)

TQ ≅ RQ  (given)

⇒ Δ STQ  and Δ SRQ are congruent by RHS congruent rule.

By CPCT (corresponding parts of congruent triangle)

∠TSQ = ∠RSQ

2x + 24 = 30

2x = 30 - 24

2x = 6

x = 3

Therefore, Value of x is 3.

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