Question

Angle Z is 2 degrees larger than twice the measure of angle T. if angle Z and angle T are complememtary,what is the measure of angle T?

Answer 1

To find the measure of angle T, we use the given information that angle Z is 2 degrees larger than twice angle T and that they are complementary. Solving the equations derived from these conditions, angle T is approximately 29.33 degrees.

Step-by-step explanation:

To solve for the measure of angle T when given that angle Z is 2 degrees larger than twice the measure of angle T, and that angles Z and T are complementary, we set up the following equation:

• Z = 2T + 2
• T + Z = 90 (since complementary angles sum up to 90 degrees)

Substituting the first equation into the second, we get:

• T + (2T + 2) = 90
• 3T + 2 = 90
• 3T = 88
• T = 88 / 3
• T = 29.333...

Therefore, the measure of angle T is approximately 29.33 degrees.