A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle in only 10 qords

Question

A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle in only 10 qords

Answer 1

Angles: 61°, 83°, 26°. Total: 180°.

Answer 2

Can u give me the explanation

Answer 3

Sure! According to the Triangle Angle Sum Theorem, the sum of the three angles in a triangle is always 180 degrees.

Given that the acute angles of the right triangle are 2x+6 and 3x-26 degrees, we can set up an equation:

(2x+6) + (3x-26) + 90 = 180
5x - 20 + 90 = 180
5x + 70 = 180
5x = 110
x = 22

Then, we can find the measures of the acute angles:
2(22) + 6 = 50 degrees
3(22) - 26 = 56 degrees

Therefore, the measures of the missing angles are 50°, 56°, and 90°.

Answer 4

A little shorter

Answer 5

Using the Triangle Angle Sum Theorem, the third angle is 180 - (2x+6 + 3x-26) = 180 - 5x + 20 = 200 - 5(22) = 90 degrees. So the missing angles are 90 degrees, 50 degrees, and 56 degrees.

Answer 6

Now can u make it a little bit shorter

Answer 7

Sure. Given the angles 2x+6 and 3x-26 in the right triangle, the third angle by the Triangle Angle Sum Theorem is 180 - (2x+6) - (3x-26) = 180 - 5x + 20 = 200 - 5(22) = 90 degrees. Thus the missing angles are 90°, 50°, and 56°.

Answer 8

Now put it in thirds grade level

Answer 9

Sure! In a right triangle, we know one angle is 90 degrees. If the other two angles are 50 and 56 degrees, we used a math rule to find them! So, the missing angles of the triangle are 90°, 50°, and 56°.