Question

1. look at the figure. find the value of x. 65° 60 50 65 55

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°.

Step2: Note equal - angle property

The triangle has two equal sides (indicated by the tick marks), so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. One base - angle is 65°, so the other base - angle is also 65°.

Step3: Calculate the value of x

Let \(x\) be the third - angle. Using the angle - sum property of a triangle \(x + 65^{\circ}+65^{\circ}=180^{\circ}\). Then \(x=180^{\circ}-(65^{\circ}+65^{\circ}) = 180^{\circ}-130^{\circ}=50^{\circ}\).

Answer:

50