find the third angle, if other two angels are 2upon3 of a right angle is 4upon 5 of a right angle
Answers
The total measure of all 3 angles of any triangle is 180°. Every right-angled triangle or right triangle has one right angle, and that right angle measures 90°; therefore, we can write the following equation for our given right triangle:
The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180°
90° + 52° + the measure of the third angle = 180°
142° + the measure of the third angle = 180°
Now, subtract 142° from both sides of the equation:
142° - 142° + the measure of the third angle = 180° - 142°
The measure of the third angle = 38°
CHECK:
The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180°
90° + 52° + the measure of the third angle = 180°
90° + 52° + 38° = 180°
180° = 180°