Question

what is the measure of the missing angle in mayas triangle?
85°
110°
45°
70°
question 8
maya decides to draw another triangle and labels the three angles as ( x ), ( (x + 10)^{circ} ), and ( (x + 20)^{circ} ). what is the value of ( x )?
( x=)
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Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x+(x + 10)+(x + 20)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x+x+x)+(10 + 20)=180\), which gives \(3x+30 = 180\).

Step3: Solve for \(x\)

Subtract 30 from both sides: \(3x=180 - 30\), so \(3x=150\). Then divide both sides by 3: \(x=\frac{150}{3}=50\).

Answer:

\(x = 50\)