The three angles are x, 2x, 2x
So,
x+2x+2x = 180
x = 36
36°
90°
180°
72°
So,
x+2x+2x = 180
x = 36
In this case, the ratio of the angle measures is 1:2:2, which means the total ratio parts is 1 + 2 + 2 = 5.
To find the value of the smallest angle:
1. Divide the total angle measure (180° for a triangle) by 5: 180° / 5 = 36°.
2. Multiply the smallest ratio part (1) by the result from step 1: 36° * 1 = 36°.
Therefore, the value of the smallest angle is 36°.
Step 1: Add up the ratio values.
The total ratio values are 1 + 2 + 2 = 5.
Step 2: Calculate the size of each angle.
To find the size of each angle, we divide the total angle measure (180°) by the total ratio values (5).
The smallest angle = (1 / 5) × 180°
The second angle = (2 / 5) × 180°
The largest angle = (2 / 5) × 180°
Step 3: Calculate the smallest angle.
Now we can find the value of the smallest angle.
The smallest angle = (1 / 5) × 180° = 36°
Therefore, the value of the smallest angle is 36°.