The largest angle is 105 degrees. The interior angles of any triangle total 180 degrees. Subracting the 30 degrees of the known angle leaves 150 degrees. The remaining 2 angles must total 150 degrees, and be in the proportion 3:7. The proportion can be stated: 3 is to 7 as x is to 150 - x. Cross-multiplying gives the equations: 450 - 3x = 7x 450 = 10x 45 = x So the remaining angles are 45 degrees and 105 degrees. The angles add to 150 degrees and are in the correct proportion, 3:7, since 3 X 15 = 45, and 7 X 15 = 105.
20 degrees
105
77 degrees
To find the measure of the third angle of a triangle, you can use the fact that the sum of all three angles in a triangle is always 180 degrees. So, if one angle measures 50 degrees and the other measures 85 degrees, you can subtract their sum from 180 to find the measure of the third angle. Therefore, the third angle would measure 180 - 50 - 85 = 45 degrees.
The other acute angle in that triangle is 40 degrees.
80
It is a right angle triangle and the 3rd angle will measure 30 degrees
They each measure 60 degrees
20 degrees
25 degrees
105
Each of the 3 angles measures 60 degrees. There are 180 degrees in a triangle.
77 degrees
It is 90 degrees
Triangles measure 180 degrees. A triangle that has one 90 degree angle is known as a right triangle.
The third angle is 34.5 degrees
The missing angle measure is 100 degrees.