Maths-
General
Easy

Question

Find: a) QR
b) 𝑚∠𝑃𝑄𝑇

hintHint:

Observe the figure carefully and notice which sides/ angles are equal

The correct answer is: a) QR = 22 inches, b) ∠𝑃𝑄𝑇 = 90


    SOL – (a) In the figure, it is shown that PQ = QR and
    PQ = 22 in.
    rightwards double arrow QR = 22 inches

    (b) PR is a straight line rightwards double arrow ∠ PQR = 180°
    rightwards double arrow ∠PQT + ∠ RQT = 180°    ---- (1)
    It is given that ∠ RQT = 90°
    Substituting in (1)
    We get, ∠PQT + 90° = 180°
    ∠PQT = 180° - 90°
    ∠PQT = 90°.

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