Question

question
find m∠qrs.
(image of triangle qrs with r at top, q and s at base, sides rq and rs marked as equal (isosceles), angle at s is 48°)
answer attempt 1 out of 2
m∠qrs = ° submit answer

Explanation:

Step1: Identify triangle type

The triangle \( \triangle QRS \) has two equal sides (marked with ticks), so it's isosceles. Thus, \( \angle Q \cong \angle S \), so \( m\angle Q = m\angle S = 48^\circ \).

Step2: Sum of angles in triangle

The sum of angles in a triangle is \( 180^\circ \). Let \( m\angle QRS = x \). Then \( x + 48^\circ + 48^\circ = 180^\circ \).

Step3: Solve for \( x \)

Simplify: \( x + 96^\circ = 180^\circ \). Subtract \( 96^\circ \): \( x = 180^\circ - 96^\circ = 84^\circ \).

Answer:

\( 84 \)