Question

videos for interior angles - triangle (level 2) question the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 1 x =

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.
So, \((5x - 10)+90 + 60=180\).

Step2: Simplify the left - hand side

Combine like terms: \(5x-10 + 150=180\), which simplifies to \(5x+140 = 180\).

Step3: Isolate the variable term

Subtract 140 from both sides: \(5x=180 - 140\), so \(5x = 40\).

Step4: Solve for x

Divide both sides by 5: \(x=\frac{40}{5}=8\).

Answer:

8