Question

what is the value of v?
70°
v
40°
z
v =
°

Explanation:

Step1: Identify triangle type

The triangle has two equal - length sides (marked with red ticks), so it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. But we can also use the angle - sum property of a triangle, which states that the sum of the interior angles of a triangle is $180^{\circ}$.

Step2: Calculate the value of \(v\)

We know two angles of the triangle: one is $70^{\circ}$ and another is $40^{\circ}$. Let the third angle (which is \(v\)) be calculated using the formula for the sum of interior angles of a triangle: \(\text{Sum of angles}=180^{\circ}\), so \(v = 180-(70 + 40)\).
First, calculate the sum of the known angles: \(70+40 = 110^{\circ}\).
Then, subtract this sum from \(180^{\circ}\): \(v=180 - 110=70^{\circ}\).

Answer:

\(70\)