Question

for this isosceles triangle, find the measures of angles t and z. angle t = \\(\square^\circ\\) and angle z = \\(\square^\circ\\)

Explanation:

Step1: Determine angle t

In an isosceles triangle, the angles opposite the equal sides are equal. The given angle is \(40^\circ\), and angle \(t\) is opposite to the side equal to the side opposite \(40^\circ\), so \(t = 40^\circ\).

Step2: Calculate angle z

The sum of the interior angles of a triangle is \(180^\circ\). So, \(z=180^\circ - 40^\circ - 40^\circ = 100^\circ\).

Answer:

angle \(t = \boldsymbol{40}^\circ\) and angle \(z = \boldsymbol{100}^\circ\)