Question

Find x, y , z in the given figure:​

Answer 1

Answer:

x = 25°, y = 45°, z = 110°

Step-by-step explanation:

∠DAC = ∠ACB = y = 45° (because alternative angles)

as, exterior angle equals sum of opposite two interior angles

therefore, ∠CBE = ∠BCA + ∠CAB

70° = x + y

70° = x + 45°

x = 70° - 45°

x = 25°

considering △ADC,

∠ADC + ∠DCA + ∠CAD = 180°

∠ADC = z (given)

∠DCA = ∠CAB = x = 25°(because alternative angles)

∠CAD = 45° (given)

therefore, z + 25° + 45° = 180°

z = 180° - 70° = 110°