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15 votes
15 votes
CEDAR

1
SOULANICTA
ARANTEN
In the figure below, mZ1 = (x-6)° and m/2=5x°.
Find the angle measures.
2

CEDAR 1 SOULANICTA ARANTEN In the figure below, mZ1 = (x-6)° and m/2=5x°. Find the-example-1
User Antonio Margaretti
by
3.4k points

1 Answer

19 votes
19 votes

Answer:

∠ 1 = 25° , ∠ 2 = 155°

Explanation:

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

x - 6 + 5x = 180

6x - 6 = 180 ( add 6 to both sides )

6x = 186 ( divide both sides by 6 )

x = 31

Then

∠ 1 = x - 6 = 31 - 6 = 25°

∠ 2 = 5x = 5 × 31 = 155°

User Arun Kumar Mohan
by
2.6k points