Question

TQ ≅ QR. Find the value of x.

Answer 1

(2x+24)+90+y=180
30+90+y=180
(2x+24)+90+y=30+90+y
x=3
Also (2x+24) should equal to 30 so x is 3

Answer 2

Value of x is 3.

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.