Question

Find the value of x​

Answer 1

Answer:

angle qtr = 90

angle tqr = 48.

in triangle qtr,

angle qtr + angle tqr + angle trq = 180 (angle sum property)

90 + 48 + angle trq = 180

138 + angle trq = 180

angle trq = 42 degrees.

Now, angle x = angle psq = angle spr + angle prs (exterior angle property)

x = 30 + 42 (angle prs = angle trq)

therefore, x = 72 degrees.

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