Answer:
Each congruent angle measures 43°.
Explanation:
One angle of a triangle measures 94° and the other two, congruent angles each measure x°.
Recall that the interior angles of a triangle must total 180°. Hence:
![\displaystyle 94 + 2x = 180](https://img.qammunity.org/2022/formulas/mathematics/high-school/pa17ssumgynxqu3ch31oe3mqen9z9uu7sx.png)
To find the measure of each congruent angle, solve for x. Subtract:
![2x = 86](https://img.qammunity.org/2022/formulas/mathematics/high-school/y9otopmr0lrmp7ib6os6q437r6xvx9ik12.png)
And divide. Hence:
![x = 43](https://img.qammunity.org/2022/formulas/mathematics/high-school/1li023swdk13kiqsmq4q9eq2pk2oa9mxtx.png)
In conclusion, each congruent angle measures 43°.