Question

find the value of x.

x =
submit

Explanation:

Step1: Use the right - angle and angle sum

The sum of angles around a point (in this case, angles at \(H\)): \(3x + 90+57 = 180\) (since the straight - line angle is \(180^{\circ}\)).

Step2: Simplify the equation

First, calculate \(90 + 57=147\). The equation becomes \(3x+147 = 180\).
Then, subtract \(147\) from both sides: \(3x=180 - 147\).
So, \(3x = 33\).

Step3: Solve for \(x\)

Divide both sides by \(3\): \(x=\frac{33}{3}\).

Answer:

\(11\)