Question

a) In the Fig. If both the angles are complimentary to each other . Find the value of X . b) Find the value of angle ABC and angle PQR.​

Answer 1

Answer:

x+10+2x+20=180

3x+30=180

3x=180-30

3x=150

x=50

<ABC is 60 and <PQR is 120

Answer 2

Answer:

(a.) X=20°

(b.) ∠ABC = 30° and ∠PQR = 60°

Step-by-step explanation:

If both angles are complimentary to each other,

Then, ∠ABC+∠PQR = 90°

(x+10°)+(2x+20°) = 90°

3x+30° = 90°

3x = 60°

x = 20°

∠ABC = x+10° ⇒20°+10°  ⇒30°

∠PQR = 2x+20°  ⇒40°+20°  ⇒60°