Answer:
A. 27 degrees, 63 degrees, 90 degrees.
Step-by-step explanation:
Let the angle of the triangle be x
Given the following data;
3 : 7 : 10 = 3x : 7x : 10x
We know that the sum of the sides of a triangle is equal to 180 degrees.
3x + 7x + 10x = 180
20x = 180
x = 180/20
x = 9
For the first side;
3x = 3 × 9 = 27°
For the second side;
7x = 7 × 9 = 63°
For the third side;
10x = 10 × 9 = 90°
Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.
Answer:
The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.
A. 27 degrees, 63 degrees, 90 degrees✓
B. 30 degrees, 60 degrees, 90 degrees
C. 30 degrees, 70 degrees, 100 degrees
D.33 degrees, 77 degrees, 80 degrees
Step-by-step explanation:
Let the required angles of the triangle be 3x, 7x and 10x
According to the above problem,
[tex]3x + 7x + 10x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ \boxed{x = 9}[/tex]
Therefore the angles are :---
[tex]3x = 3 \times 9 = 27°✓ \\ 7x = 7 \times 9 = 63°✓ \\ 10x = 10 \times 9 = 90°✓[/tex]
