Question

ZA and ZB are complementary angles. IfmZA = (x – 23)° and m

ZB (2x + 29), then find the measure of ZB.


I just cant wrap my head around thisndnensnsmmsd

Answer 1

∡ZB = 85°

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°

Answer 2

`\huge\boxed{85\text{ degrees}}`

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°.

`(x-23) + (2x+29) = 90`

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

`3x + 6 = 90\\\\3x = 84\\\\x = 28`

Now that we know the value of
`x`, we can substitute it inside the equation for m∠ZB (
`2x+29`)

`2(28)+29\\\\56+29=85`

Hope this helped!