Question

Solve for X ; X = _______
What is the measure of the obtuse angle? ___
What is the measure of acute angle with a constant of negative 2 ? ______
What is the measure of acute angle with a coefficient of 3 ? ___
The 3 Angles sum to _ _ _ degrees so they are ______________ angles.

Answer 1

Answer:

x = 19;

Measure of the obtuse angle will be 99°.

The measure of acute angle with a constant of negative 2 will be 17°.

The measure of acute angle with a coefficient of 3 will be 64°.

The 3 Angles sum to 180° so they are supplementary angles.

Step-by-step explanation:

All the angles will sum up to give 180°.

Thus, (5x + 4) + (x - 2) + (3x + 7) = 180

5x + 4 + x - 2 + 3x + 7 = 180

9x + 9 = 180

9(x + 1) = 180

x+ 1 = 20

x = 19.

Now we know that;

90 < obtuse angle > 180

Thus, here obtuse angle is (5x + 4).

Hence, 5(19) + 4

95 + 4

99°.

Acute angle with a constant of negative 2 is (x - 2).

Thus, the measure of acute angle with a constant of negative 2 is;

x - 2

19 - 2

17°.

Acute angle with a coefficient of 3 is (3x + 7).

The its measure is;

3(19) + 7

57 + 7

64°.

That's all.