Question

Consider the figure and find the value of 2k and k + 65

Answer 1

46 and 88

Explanation:

∠PYZ = ∠TYX = 2k ( congruent angles )

The 3 angles form a straight angle and sum to 180°, that is

2k + 2k + k + 65 = 180, so

5k + 65 = 180 ( subtract 65 from both sides )

5k = 115 ( divide both sides by 5 )

k = 23

Hence

2k = 2 × 23 = 46 and k + 65 = 23 + 65 = 88