In isosceles triangle TSR, ST = SR and angle TSR = 70 degrees. Calculate the measure of angle SRT.

May 12, 2026Mathematics

ScanSolve AI Answer

May 12, 2026

Answer

180^\circ$$

Step 1: Calculate the base angles of the isosceles triangle $\triangle TSR$ . Given that $|ST| = |SR|$ and $m\angle TSR = 70^\circ$ , $\triangle TSR$ is an isosceles triangle. The base angles opposite the equal sides are equal, so $m\angle STR = m\angle SRT$ . The sum of angles in a triangle is $180^\circ$ . $m\angle STR + m\angle SRT + m\angle TSR = 180^\circ$ $2 \cdot m\angle SRT + 70^\circ = 180^\circ$ $2 \cdot m\angle SRT = 180^\circ - 70^\circ$

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Calculate the base angles of the isosceles triangle TSR. Given that |ST| = |SR| and m TSR = 70^, TSR is an isosceles triangle.

Asked on May 12, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 12, 2026

Step 1: Calculate the base angles of the isosceles triangle TSR. Given that |ST| = |SR| and m TSR = 70^, TSR is an isosceles triangle. The base angles opposite the equal sides are equal, so m STR = m SRT. The sum of angles in a triangle is 180^. m STR + m SRT + m TSR = 180^ 2 · m SRT + 70^ = 180^ 2 · m SRT = 180^ - 70^ 2 ·