Question

write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Answer 1

∠RQS = 21°

∠TQU = 28°

Explanation:

90° + 221° + 3x + 4x = 360°

combine like terms:

7x + 311° = 360°

subtract 311° from each side of the equation:

7x = 49°

divide both sides by 7:

x = 7°

∠RQS = 3x = 3(7°) = 21°

∠TQU = 4x = 4(7°) = 28°