Question

In triangle PQR if angle p is equals to 2 x + 10 ,angle q = 3x and angle r =3x - 30 find the value of x and also find the measures of angles of triangle PQR

Answer 1

Answer:

x=25

Step-by-step explanation:

In a triangle sum of angles =180

P+Q+R=180

2x+10+3x+3x-30=180

8x-20=180

8x=180+20

x=200÷8

x=25

P=2x+10=2(25)+10

=50+10=60

Q=3x=3(25)=75

R=3x-30=3(25)-30

=75-30=45

Answer 2

Answer:

The value of x is 25° and the measure of angle p is 60°, angle q is 75° and angle r is 45°.

Step-by-step explanation:

Step 1

We know that the sum of all the angles of a triangle is 180° according to the angle sum property of the triangle. So,

2x+10+3x+3x-30=180°

8x-20=180°

8x=180+20

8x=200

x=$\frac{200}{8}$

x=25°

Step 2

Angle p = 2x+10

Substitute the value of x as 25° and solve the equation.

2x+10= 2(25)+10

         =50+10

         =60°

Similarly angle q = 3x

3x= 3(25)

   = 75°

Angle r = 3x-30

            = 3(25) -30

            = 75-30

            = 45°

So, the measure of angle p = 60° , q = 75° , r = 45°