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A triangle has three angles with the measures of (2x), (2x + 14), and (6x + 6)".

What is the measure of the smallest angle in the triangle?

A triangle has three angles with the measures of (2x), (2x + 14), and (6x + 6)&quot-example-1
User Alexey Borovikov
by
2.8k points

2 Answers

8 votes
8 votes

Answer:

Explanation:

Angles in a triangle add up to 180°

You take 2x+2x+14+6x+6=180°

Collect like term and add 2x+2x+6x+14+4=180°

10x+20=180°

10x=180°-20

10x=160÷10

x=16

16*2=32

16*2+14=46

16*6+6=100

Smallest angle is 32

User Jlmurph
by
2.8k points
11 votes
11 votes

Answer:

Option c : 32 degree.

Explanation:

2x + 2x + 14 + 6x + 6 = 180 degrees

10x = 160

x = 16

2x = 16 *2 = 32 degrees

User Jobo
by
2.8k points