Answer:
x = 8
Explanation:
recall that all internal angles of a triangle sum up to 180 deg
we are given that ∠F is a right angle = 90 deg
Simply sum all all the angles and equate the sum to 180 deg
90 + (3x+29) + (5x-3) = 180
90 + 3x+29 + 5x-3 = 180
90 + 3x+29 + 5x-3 = 180
116 + 8x = 180 (subtract 116 from both sides)
8x = 180 - 116
8x = 64 (divide both sides by 8)
x = 64/8
x = 8