Question

in triangle PQR if angle P - angle Q = 42 and Angle Q - angle R = 21 angle P angle Q and Angle R​

Answer 1

Answer:

Step-by-step explanation:

In Δ PQR

angleP - angleQ=42°

angleP=42°+ angleQ--------(i)

angleQ-angleR=21°

angleR=angleQ - 21----------(ii)

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BY USING ANGLE SUM PROPERTY :

angleP+angleQ+angleR=180°

[Using values of angleP and angleR from eq(i) and eq(ii) respectively ]

42+angleQ+angleQ+angleQ-21=180

3angleQ+21=180

3angleQ=180-21

3angleQ=159

angleQ=159/3

angleQ=53

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From eq(i)

angleP=42+angleQ

angleP=42+53

angleP=95

From eq(ii)

angle R=angleQ-21

angleR=53-21

angleR=32

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MEASURE OF ALL THE ANGLES:

angleP=95°

angleQ=53°

angleR=32°