Question

do now #2

1. give the shape on the right:

a) name a right angle.
b) name 2 acute angles.
c) name 2 obtuse angles.

1. give the shape on the right:

a) name 3 right angles.
b) name an acute angle.
c) name 3 obtuse angles.

Explanation:

Step1: Recall angle - type definitions

A right - angle measures 90 degrees, an acute angle measures less than 90 degrees, and an obtuse angle measures more than 90 degrees but less than 180 degrees.

Step2: Analyze first shape

a) In the first shape, $\angle B$ is a right - angle as indicated by the right - angle symbol.
b) Acute angles are angles smaller than 90 degrees. In the first shape, $\angle A$ and $\angle C$ can be acute angles.
c) Obtuse angles are greater than 90 degrees but less than 180 degrees. In the first shape, $\angle D$ and $\angle E$ can be obtuse angles.

Step3: Analyze second shape

a) In the second shape, $\angle A$, $\angle C$, and $\angle G$ are right - angles as indicated by the right - angle symbols.
b) An acute angle in the second shape could be $\angle B$.
c) Obtuse angles in the second shape could be $\angle D$, $\angle E$, and $\angle F$.

Answer:

1.
a) $\angle B$
b) $\angle A$, $\angle C$
c) $\angle D$, $\angle E$
2.
a) $\angle A$, $\angle C$, $\angle G$
b) $\angle B$
c) $\angle D$, $\angle E$, $\angle F$