The angles of a triangle are in the ratio 2:3:7 find the measure of each angle
Answers
Answered by
2
Step-by-step explanation:
2+3+7=12
2/12 *180=30
3/12 *180=45
7/12 *180=105
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Answered by
0
Answer:
30°, 45° and 105°
Step-by-step explanation:
Let the common ratio be x.
Therefore, the angles are 2x, 3x and 7x respectively.
Sum of all angles of a triangle = 180 [Angle Sum Property]
Therefore,
2x + 3x + 7x = 180
12x = 180
x = 15
First angle = 2x = 2(15) = 30°
Second angle = 3x = 3(15) = 45°
Third angle = 7x = 7(15) = 105°
Ans: The angles are 30°, 45° and 105° respectively.
Hope this helps!
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