∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

4
(4 stars)

8

5
(3 stars)

5

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2 years ago

40475 response - 0 helps
**Answer:**

x = 7

**Step-by-step explanation:**

__Complementary angles__ are two angles that sum up to **90°**. In this case, we are given that **∠C** and **∠D** are __complementary.__ This means that the sum of **∠C** and **∠D** is equivalent to **90°.**

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90° [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

⇒** x = 91/13 = 7**

Answer:Step-by-step explanation:Complementary angles are angles that

add up to 90°.We have C and D as

complementary.Their

sumis:Substitutevalues andsolvefor x: