Question

In the given diagram, angle PQT = 30° , angle PQS = 75° , and angle PQR = 125°. Find the measure of angle TQR.​

Answer 1

Answer:

TQR = 95°

Step-by-step explanation:

Given,

• PQT = 30°
• PQS = 75°
• PQR = 125°

To find,

• TQR

How to find,

• We shall find SQR first and then TQS. Finally TQR.

Finding SQR :

PQR - PQS = STQ

⇒ 125° - 75° = 50°

Finding TQS:

PQR - PQT + SQT

→125° - 30° + 50°

→ 125° - 80°

→ 45°

Finding TQR:

→ TQS + STQ

→ 45° + 50°

→ 95°

Hence, the measure of TQR is 95°.

Answer 2

Answer:

Given :-

• ∠PQT = 30°
• ∠PQS = 75°
• ∠PQR = 125°

To Find :-

• What is the value of ∠TQR

Solution :-

Given :

• ∠PQT = 30°
• ∠PQS = 75°
• ∠PQR = 125°

According to the question,

➱ ∠PQT + ∠PQS + ∠TQR = ∠PQR

By putting all the value we get,

⇒ 30° + 75° + ∠TQR = 125

⇒ 105° + ∠TQR = 125

⇒ ∠TQR = 125° - 105°

➠ ∠TQR = 20°

∴ The value of ∠TQR is 20° .

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