Question

Find the value of x from the following figure
Pls fasttt

Answer 1

Answer:

• Value of x is 50°.

Step-by-step explanation:

In the figure, PQ || RS and DG is a transversal.

We see,

• ∠DEP = 2x + 15°
• ∠GFS = x + 15°

[These two angles are interior angles]

We know,

• Interior angles are supplementary.

Hence,

• ∠DEP + ∠GFS = 180°

⇒ 2x + 15° + x + 15° = 180°

⇒ 3x + 30° = 180°

⇒ 3x = 150°

⇒ x = 150°/3

∴ x = 50°

Finding the angles,

∠DEP = 2(50) + 15° = 115°

∠GFS = 50 + 15° = 65°

Verification :

∠DEP + ∠GFS = 180°

⇒ 115° + 65° = 180°

⇒ 180° = 180°

∴ L.H.S = R.H.S