Question

in triangle PQR angle P = 30 degree PQ = PR then find measurement of angle Q and angle R please explain​

Answer 1

Answer:

x+x+30=180

2x×30=180

2x=180-30

2x=150

x=150÷2

x=75

Answer 2

Answer:

Both the angles Q and R have identical value and is equal to 75°.

Step-by-step explanation:

The given question deals with the formation of a triangle and its basic properties.

One angle of the triangle is given, ∠P = 30°

Also given side PQ is equal to side PR.

Now in a triangle, if two sides are Equal then. the angles opposite to these sides are also equal.

Thus,

     ∠Q = ∠R  ------(1)

Now, according to the angle sum property of  triangle, the sum of the interior angles of a triangle is equal to 180°.

  thus,

           ∠P+∠Q+∠R = 180°

⇒     30°+∠Q+∠Q = 180°      { ∠R = ∠Q }

⇒     30°+ 2∠Q = 180°

⇒              2∠Q = 150

⇒                ∠Q = 75

Now, since angle Q and angle R are equal We have ∠Q = ∠R=75°.

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