Question

QUESTION 3 Determine with REASONS the values of x and y in each of the following figures: 3.1 3.2 3.3 62° A- F 40° x V x y 40° B​

Answer 1

3.1) x = 180° - 40° = 140°

y = 40° (congruent vertical

angles)

3.2) x = 62° (base angles of

isosceles triangle are

congruent)

y = 180° - 2(62°) = 180° - 124° = 56°

3.3) x = 90° - 40° = 50°

y = 50° (parallel lines cut by a

transversal form congruent

alternate interior angles)

3.4) x + 4x + 2x + 40 = 180

7x + 40 = 180

7x = 140

x = 20