Look at the figure below.

what is the length, in units, of segment cd?

a) 6
b) 8.5
c) 7
d) 9.8

Option D

Step-by-step explanation:

Step 1

In the right triangle ABC

Find the measure of angle BAC

Step 2

In the right triangle ABC

Find the measure of angle ACB

Remember that

The sum of the internal angles of a triangle is equal to

so

m∠ACB=

Step 3

In the right triangle ADC

Find the measure of angle ACD

m∠ACD+m∠ACB= > by complementary angles

m∠ACD=

Step 4

In the right triangle ADC

Find the measure of segment CD

substitute the values

s + (a + 178) = 2000

step-by-step explanation:

2000 - 178 = 1822

1822 / 2 = 911

911 + 178 = 1089

1089 + 911 = 2000

abha = 1089

shane = 911