QUESTION IMAGE
Question
classify the four angles of the quadrilateral.
c
60°
b
140°
a
70°
90°
d
right acute obtuse
∠a o o o
∠b o o o
∠c o o o
∠d o o o
Step1: Recall angle - type definitions
An acute angle is between 0° and 90°, a right - angle is 90°, and an obtuse angle is between 90° and 180°.
Step2: Classify ∠A
Since ∠A = 70° and 0°<70°<90°, ∠A is acute.
Step3: Classify ∠B
Since ∠B = 140° and 90°<140°<180°, ∠B is obtuse.
Step4: Classify ∠C
Since ∠C = 60° and 0°<60°<90°, ∠C is acute.
Step5: Classify ∠D
Since ∠D = 90°, ∠D is right.
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| Right | Acute | Obtuse | |
|---|---|---|---|
| ∠B | ● | ||
| ∠C | ● | ||
| ∠D | ● |