Question

what are the values of t and u?

t = \square^\circ
u = \square^\circ

Explanation:

Step1: Identify the triangle type

The triangle has two equal sides (marked with red ticks), so it's an isosceles triangle. In an isosceles triangle, the base angles are equal. So angle \( t \) (at \( H \)) is equal to angle \( J \) (at \( J \)).
Given \( \angle J = 34^\circ \), so \( t = 34^\circ \).

Step2: Calculate angle \( u \)

The sum of the interior angles of a triangle is \( 180^\circ \). So, \( \angle u + \angle t + \angle J = 180^\circ \).
Substitute \( t = 34^\circ \) and \( \angle J = 34^\circ \):
\( u + 34^\circ + 34^\circ = 180^\circ \)
\( u + 68^\circ = 180^\circ \)
\( u = 180^\circ - 68^\circ = 112^\circ \)

Answer:

\( t = 34^\circ \)
\( u = 112^\circ \)