Question

ZA is complementary to ZB. The measure of ZA is (8x + 12). The measure of ZB is half the measure of ZA.

Write an equation that can be used to determine the value of 2. Then solve for 2.
Enter the correct answers in the boxes.
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equation:

Answer 1

To solve for the value of ZB, we can set up and solve an equation based on the fact that ZA and ZB are complementary angles.

Step-by-step explanation:

To write an equation that can be used to determine the value of ZB, we can use the fact that ZA and ZB are complementary angles. Complementary angles add up to 90 degrees. So, we can set up the equation: (8x + 12) + ZB = 90. Since the measure of ZB is half the measure of ZA, we can substitute ZA with 2ZB in the equation: (8x + 12) + 2ZB = 90.

To solve for ZB, we substitute 2ZB with ZA in the equation: (8x + 12) + (2ZB) = 90. Simplifying the equation gives us: 8x + 12 + 2ZB = 90. We can then isolate ZB by subtracting 8x and 12 from both sides of the equation: 2ZB = 90 - 8x - 12. Finally, we divide both sides of the equation by 2 to solve for ZB: ZB = (90 - 8x - 12) / 2.

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