Question

In the given figure PQ||RT, find the values
of a and b​

Answer 1

since PQ||RT

b=55°( alternate angles)

80°+b+a=180°(linear pair property)

80°+55°+a=180°

135°+a=180°

a=180°-135°=45°

Answer 2

Step-by-step explanation:

• Applying angle sum property in traingle

• /_ PQR + 45⁰ + 55⁰ = 180⁰

• /_ PQR + /_ QRT + /_ TRS = 180⁰ ... ( angle forming straight line )

80⁰ + a + b = 180⁰

a + b + = 100⁰

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