Question

1.5 triangles
score: 7.33/16 answered: 9/16
question 11
find the missing angle.
106°
67°
131°
x =

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of the interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

Let the missing angle be \(x\). Then \(x + 106+131 + 67=360\).

Step3: Simplify the left - hand side of the equation

First, calculate \(106 + 131+67\): \(106+131 + 67=(100 + 6)+(100+31)+(60 + 7)=(100+100 + 60)+(6 + 31+7)=260+44 = 304\).
So the equation becomes \(x+304 = 360\).

Step4: Solve for \(x\)

Subtract 304 from both sides of the equation: \(x=360 - 304\).

Answer:

\(56\)