If the measure of the second angle of triangle is twice that of the first, indicate the measure of the third angle.
2 answers:
Answer:
Here,
Let the angles be x, 2x and 6x respectively.
Step-by-step explanation:
Now,
x+2x+6x = 180° (sum of angles of a triangle)
or,9x=180°
or,x=180°/9
•°• x= 20°
•°•2x= 2×20°= 40°
•°• 6x= 6×20°=120°
120° , All the angles add up to 180 degrees. Call the smallest angle x , so the second will be 2x and as the third is three times the second it will be 6x . We have: x + 2 x + 6 x = 180 9 x = 180 ⇒ x = 20 The third angle is 6 x = 120
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