Question

3-4.4,9.3)

The three angles in a triangle always add up to 180°. If one angle in a triangle is 90° and the second is 4 times the third, what are the three angles?
A. 90°, 72°, 18°
OB. 90°, 71°, 19°
OC. 90°, 730, 17°
OD. 90°, 70°, 20°

Answer 1

The three angles in the triangle are 90°, 72°, and 18°.

Step-by-step explanation:

Let's assign variables to the angles in the triangle. Let the first angle be x, the second angle be 4x, and the third angle be 90°. According to the given information, the sum of these angles should be 180°. So, we can set up the equation x + 4x + 90 = 180 and solve for x:

5x + 90 = 180

5x = 90

x = 18

Therefore, the three angles are: 90°, 4(18)° = 72°, and 18°.

Learn more about Angles in a triangle