Question

find x in the given diagram.​

Answer 1

Answer:

x = 95°

Step-by-step explanation:

From ΔFDE,

∠F + ∠D + ∠E = 180°

∠F + 100 + 30 = 180

∠F = 50°... (i)

From ΔABC,

∠A + ∠B + ∠C = 180°

∠C + 110 + 35 = 180

∠C = 35°... (ii)

In ΔFGC,

∠F + ∠G + ∠C = 180°

From (i) and (ii),

∠G + 50 + 35 = 180

∠G = 95°

∠G = x [They are vertically opposite]

∴ x = 95°

Answer 2

Answer:

In the figure ∠$x=95$°

Step-by-step explanation:

Consider the triangle ABC, two angles ∠A$=35$°, ∠B$=110$°

therefore ∠C$=180-35-110=35$°.

Next consider the triangle EFD, two angles ∠E$=30$°, ∠D$=100$°

therefore ∠F$=180-100-30=50$°.

Finally consider triangle CFG, we found ∠C$=35$°,∠F$=50$°

therefore ∠G$=180-35-50=95$°.

∠$G=$∠$x$ (opposite angles are equal)

Hence ∠$x=95$°.

thank you