Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((3x + 3)+54 + 90=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x+3 + 54+90=3x+(3 + 54+90)=3x + 147\).
The equation becomes \(3x+147 = 180\).

Step3: Solve for \(x\)

Subtract \(147\) from both sides: \(3x=180 - 147\), so \(3x=33\).
Divide both sides by \(3\): \(x=\frac{33}{3}\).

Answer:

\(x = 11\)