Question

1 fill in the blank 10 points 8. solve for ( x ) and the missing angle. (triangle with angles ( 69^circ ), ( 13x - 4 ), ( 37^circ )) ( x = ) blank missing angle measure = blank 3 fill in the blank 10 points 3. find ( x ) and the measure of ( angle a ).

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(69^\circ + (13x - 4)^\circ + 37^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(69 + 37 - 4 + 13x = 180\) → \(102 + 13x = 180\).

Step3: Solve for \(x\)

Subtract 102: \(13x = 180 - 102 = 78\). Divide by 13: \(x = \frac{78}{13} = 6\).

Step4: Find the missing angle

Substitute \(x = 6\) into \(13x - 4\): \(13(6) - 4 = 78 - 4 = 74^\circ\).

Answer:

\(x = 6\)
Missing angle measure \(= 74^\circ\)