Question

what are the values of t and u?
i
39°
k
u
j
t
t =
u =

Explanation:

Step1: Identify triangle type

The triangle \( \triangle IJK \) has two equal sides (marked with ticks), so it's isosceles. In an isosceles triangle, the angles opposite equal sides are equal. Thus, \( \angle I = \angle K \), so \( u = 39^\circ \).

Step2: Calculate \( t \)

The sum of angles in a triangle is \( 180^\circ \). So, \( t + 39^\circ + u = 180^\circ \). Substitute \( u = 39^\circ \):
\( t + 39^\circ + 39^\circ = 180^\circ \)
\( t + 78^\circ = 180^\circ \)
\( t = 180^\circ - 78^\circ = 102^\circ \).

Answer:

\( t = 102^\circ \), \( u = 39^\circ \)