Question

modeling real life find the values of x and y in the diagram of the sports pennant. 79° wildcats x° y° x = y =

Explanation:

Step1: Identify triangle type

The sports pennant is an isosceles triangle (two equal sides, marked by red ticks), so the base angles are equal. Thus, \( x = 79^\circ \).

Step2: Sum of triangle angles

The sum of angles in a triangle is \( 180^\circ \). So, \( x + 79 + y = 180 \). Substitute \( x = 79 \): \( 79 + 79 + y = 180 \).

Step3: Solve for y

Calculate \( 79 + 79 = 158 \). Then, \( y = 180 - 158 = 22 \).

Answer:

\( x = 79 \)
\( y = 22 \)