Question

consider the angles formed by the garden gate. what can be concluded from each of the following statements? state the theorem that yields each conclusion.
a. m∠1 = 90 and m∠2 = 90.
b. ∠3 and ∠4 are vertical angles.
a. given that m∠1 = 90 and m∠2 = 90, what can be concluded?
a. it can be concluded that ∠1≅∠2 since all right angles are congruent.
b. it can be concluded that ∠1 and ∠2 are complementary angles by the definition of complementary angles.
c. it can be concluded that m∠1 + m∠2 = 180 since the sum of the measures of a linear pair is 180.
d. it can be concluded that ∠1≅∠2 since vertical angles are congruent.
b. given that ∠3 and ∠4 are vertical angles, what can be concluded?
a. it can be concluded that ∠3 and ∠4 are complementary angles by the definition of complementary angles.
b. it can be concluded that m∠3 + m∠4 = 180 since the sum of the measures of a linear pair is 180.
c. it can be concluded that ∠3≅∠4 since vertical angles are congruent.
d. it can be concluded that ∠3≅∠4 since all vertical angles are right angles and all right angles are congruent.

Explanation:

Explicación:

Paso1: Analizar el caso de $\angle1$ y $\angle2$

Como $m\angle1 = 90$ y $m\angle2=90$, todos los ángulos rectos son congruentes.

Paso2: Analizar el caso de $\angle3$ y $\angle4$

Los ángulos verticales son congruentes.

Respuesta:

a. A. It can be concluded that $\angle1\cong\angle2$ since all right - angles are congruent.
b. B. It can be concluded that $\angle3\cong\angle4$ since vertical angles are congruent.

Answer:

Explicación:

Paso1: Analizar el caso de $\angle1$ y $\angle2$

Como $m\angle1 = 90$ y $m\angle2=90$, todos los ángulos rectos son congruentes.

Paso2: Analizar el caso de $\angle3$ y $\angle4$

Los ángulos verticales son congruentes.

Respuesta:

a. A. It can be concluded that $\angle1\cong\angle2$ since all right - angles are congruent.
b. B. It can be concluded that $\angle3\cong\angle4$ since vertical angles are congruent.