Question

a pennant is in the shape of an isosceles triangle. one leg of the triangle is fastened to a stick so that the bottom leg of the triangle makes a 74° exterior angle with the stick. what is the measure of each remote interior angle? the measures of the remote interior angles are . (simplify your answer. use a comma to separate answers as needed. do not include the degree symbol in your answer.)

Explanation:

Step1: Record la propiedad del ángulo exterior

El ángulo exterior de un triángulo es igual a la suma de los ángulos interiores no adyacentes.

Step2: Dado que es un triángulo isósceles

Los ángulos interiores no adyacentes son iguales. Sea $x$ el valor de cada ángulo interior no adyacente. Entonces $2x = 74$.

Step3: Resolver para $x$

Dividimos ambos lados de la ecuación $2x = 74$ por 2. Obtenemos $x=\frac{74}{2}=37$.

Answer:

37