Question

From the figure, iſ; AC || DF and AB || CE, then
A) x = 145°, y = 223°
B) x = 223º, = 145°
C) x = 135°, y = 233°
D) X = 233°, y = 135°​

Answer 1

Answer:

A) x = 145° y = 223°

Step-by-step explanation:

Since AB ║ CE,

∠A = 58° ( Corresponding angles)

∠C = 180 - 58 (supplementary angles)

∴∠C = 122°

∴ 2x + 12 = 360 - 58

= 2x +12 = 302

⇒ 2x = 302 - 12 = 290

∴ x = $\frac{290}{2}$ = 145°

y + 15 = 360 - 122 = 238

∴ y = 238 - 15 = 223

y = 223°