triangle abc is an isosceles right triangle. what is the measure of one base angle?\n30°\n45°\n60°\n90°
triangle abc is an isosceles right triangle. what is the measure of one base angle?\n30°\n45°\n60°\n90°
Answer
Explanation:
Step1: Recall angle - sum property
The sum of interior angles of a triangle is $180^{\circ}$. In an isosceles right - triangle, one angle is $90^{\circ}$, and the two base angles are equal. Let the measure of each base angle be $x$. So, $90^{\circ}+x + x=180^{\circ}$.
Step2: Solve the equation
Combine like terms: $90^{\circ}+2x = 180^{\circ}$. Subtract $90^{\circ}$ from both sides: $2x=180^{\circ}-90^{\circ}=90^{\circ}$. Divide both sides by 2: $x = 45^{\circ}$.
Answer:
B. $45^{\circ}$