Question

find the measure of the unknown angles. 11.3 cm 134° 11.3 cm?°?° 9. 90° each 23° each 46° each 18° each

Explanation:

Step1: Use triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). Let the unknown angles be \(x\) (since the triangle has two equal sides, the base - angles are equal).
We know one angle is \(134^{\circ}\), so \(x + x+134^{\circ}=180^{\circ}\).

Step2: Solve the equation

Combine like terms: \(2x+134^{\circ}=180^{\circ}\).
Subtract \(134^{\circ}\) from both sides: \(2x=180^{\circ}- 134^{\circ}\).
\(2x = 46^{\circ}\).
Divide both sides by \(2\): \(x=\frac{46^{\circ}}{2}\).

Answer:

\(23^{\circ}\) each