triangle abc is an isosceles right triangle. what is the measure of one base angle? 30° 45° 60° 90°
triangle abc is an isosceles right triangle. what is the measure of one base angle? 30° 45° 60° 90°
Answer
Answer:
B. (45^{\circ})
Explanation:
Step1: Recall the sum of angles in a triangle
The sum of angles in a triangle is (180^{\circ}).
Step2: Use properties of the isosceles right - triangle
In an isosceles right - triangle, one angle is (90^{\circ}). Let the base angles be (x) (they are equal as it is isosceles). So, (90 + x+x=180).
Step3: Solve the equation
[ \begin{align*} 90 + 2x&=180\ 2x&=180 - 90\ 2x&=90\ x& = 45 \end{align*} ]