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marysya [2.9K]
3 years ago
12

Find the measurement of ∠DOC Round your answer to the nearest whole number.

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer:

61.2 degrees

Step-by-step explanation:

You want to isolate x on one side of the equation and the numbers on the other side

3x + 2x + 27 = 180

3x + 2x +27 - 27 = 180-27

5x = 153

x = 153/5

x = 30.6

<DOC = 2x

2x = 30.6 x 2

61.2 degrees

Sphinxa [80]3 years ago
3 0

Step-by-step explanation:

2x + 3x + 27 = 180 |sum \: of \: angle \: on \: a \: straight \: line \: is \: equal \: to \: 180| \\ 5x + 27 = 180 |collect \: like \: terms \: |  \\ 5x = 180 - 27  \\ 5x = 153  |divide \: both \: side \: by \: 5|  \\ x = 30.6 \\ since \: x \: is \: 30.6 \: then \: 2x \: is  =  \\ 2 \times 30.6 = 61.2 |final \: answer|

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