Question

in the given figure, if PAQ is parallel to BC and angles of ∆ ABC are in ratio of 2:1:3, then value of x is​

Answer 1

Step-by-step explanation:

○GIVEN-

PQ ॥ BC

AngleA:AngleB:AngleC=2:1:3

○TO FIND-

x

○CALCULATIONS-

$2a + a + 3a = 180 \\ = > 6a = 180 \\ = > a = \frac{180}{6} \\ = > a = 30$

Using ASP of a triangle

Therefore,

AngleA=2a=2×30=60°

AngleB=a=30°

AngleC=3a=3×30=90°

Since, PQ ॥ BC [Given]

Therefore, x=AngleB [Alt. int. angles are equalin parallel lines]

Therefore x=30°

Answer 2

Answer:

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