ZA and ZB are complementary angles. IfmZA = (x – 23)° and m ZB (2x + 29), then find the measure of ZB.

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Step-by-step explanation:

Complementary angles are two angles that add up to 90°.

We know the measurements of m∠ZA and m∠ZB, so their angle measures will add to 90°.

Let's simplify this equation so we have x on one side of the equation.

Now that we know the value of , we can substitute it inside the equation for m∠ZB ()

Hope this helped!

∡ZB = 85°

Step-by-step explanation:

ZA + ZB are complementary angles

Complementary angles sum 90°

then:

(x-23)° + (2x+29)° = 90°

2x + x - 23 + 29 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28°

then:

ZB = (2x + 29)

ZB = (2*28 + 29)

ZB = (56 + 29)

ZB = 85°

2,600 divided by 80 = 32.5

step-by-step explanation: