Two angles of a triangle are of measure 30 degree and 70 degree respec...
Given Information:
- Two angles of a triangle are 30 degrees and 70 degrees respectively.
To Find:
- The measure of the third angle.
Solution:
To find the measure of the third angle, we need to use the property of triangles that states the sum of all angles in a triangle is always 180 degrees.
Step 1: Identify the measure of the given angles
- Angle 1: 30 degrees
- Angle 2: 70 degrees
Step 2: Calculate the measure of the third angle using the sum of angles property
- Sum of all angles in a triangle = 180 degrees
- Measure of the third angle = 180 degrees - (Measure of Angle 1 + Measure of Angle 2)
Step 3: Substitute the given measures of angles into the formula
- Measure of the third angle = 180 degrees - (30 degrees + 70 degrees)
Step 4: Simplify the equation
- Measure of the third angle = 180 degrees - 100 degrees
Step 5: Calculate the measure of the third angle
- Measure of the third angle = 80 degrees
Conclusion:
The measure of the third angle in the triangle is 80 degrees.
Two angles of a triangle are of measure 30 degree and 70 degree respec...
The sum of all the angles of a triangle is 180. let the 3rd angle be x so, x+30+70=180, x+100=180, x=180-100, x=80