Question

solve for x.
7)
6x + 4
50°

Explanation:

Step1: Find the third angle of the triangle

The sum of angles in a triangle is \(180^{\circ}\). One angle is \(90^{\circ}\) (right - angle) and another is \(50^{\circ}\). Let the third angle be \(A\). Then \(A=180-(90 + 50)=40^{\circ}\).

Step2: Set up the equation for the side

We assume the side \(6x + 4\) is related to the angle \(40^{\circ}\) (assuming some trigonometric relation, but if it's an isosceles - right - triangle - related wrong assumption is corrected as per angle - sum). Wait, no, using angle - sum of triangle:
Since it's a right - triangle (\(90^{\circ}\)), and sum of angles \(=180^{\circ}\), the non - right angles: \(90^{\circ}+50^{\circ}+(6x + 4)^{\circ}=180^{\circ}\) (assuming the side \(6x + 4\) is related to an angle, no, wait, wrong. Wait, using angle - sum of triangle:
The three angles: \(90^{\circ},50^{\circ}\) and the angle opposite to \(6x + 4\) (assuming it's an angle measure, no, wait the problem is likely mis - written. Wait, no, using angle - sum of triangle:
The three angles: \(90^{\circ},50^{\circ}\) and the third angle. But if \(6x+4\) is an angle: \(90 + 50+(6x + 4)=180\)
\(144+6x=180\)

Step3: Solve the equation for \(x\)

Subtract \(144\) from both sides: \(6x=180 - 144\)
\(6x = 36\)
Divide both sides by \(6\): \(x=\frac{36}{6}=6\)

Answer:

\(x = 6\)