The three angles of a triangle are in the ration 1:2:3 find the measure of each angle.
Answers
Answer:
30° , 60° , 90°
Step-by-step explanation:
Sum of all the angles of a triangle = 180°
Angle 1 = x
Angle 2 = 2x
Angle 3 = 3x
∠1 + ∠2 + ∠3 = 180°
x + 2x + 3x = 180°
6x = 180°
x = 180/6 = 30°
2x = 30 x 2 or 60°
3x = 30 x 3 or 90°
Therefore the angles are 30°, 60°, 90°
Answer:
The measure of each angle are 30°, 60°, and 60° respectively.
Step-by-step explanation:
Consider the provide information.
As per the question, we've been given that the three angles of a triangles are 1:2:3. With this information we've been asked to find out the measure of each angle.
Let us consider that the angles be 1x, 2x and 3x respectively.
We know that, The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.
→ 1x + 2x + 3x = 180
→ 6x = 180
→ x = 180/6
→ x = 30
Therefore, the measure of each angles will be,
First angle, 1x = 1 * 30 = 30°
Second angle, 2x = 2 * 30 = 60°
Third angle, 3x = 3 * 30 = 90°
Hence, the measure of each angle are 30°, 60°, and 60° respectively.
#Learn more:
1. The Perimeter of a triangle is 27.9 cm. Find the length of each side of the triangle
- brainly.in/question/32940257
2. The lengths of the sides of a triangle are in the ratio 3:4:5 and its perimeter is 60 cm. Find its are
- brainly.in/question/38935226