(4) In the figure. ABCD is a parallelogram.
Find the measure of angle B.
Answers
Answered by
13
Step-by-step explanation:
can you give the figure attachment!!
Answered by
1
Answer:
68°,112°,68° and 112
Step-by-step explanation:
Let ABCD be the given parallelogram and ∠A be the given angle.
∴∠A=68°
As we know that, in a parallelogram opposite angles are equal.
∴∠C=∠A=68°
Let the measurement of ∠B be x°.
∴∠D=∠B=x°(∵Opposite angles)
Now as we know that sum of all the angles in a parallelogram is 360°.
∴68°+x°+68°+x°=360°
⇒2x°+136°=360°
⇒2x°=360°−136°
⇒x°=
2
224°
=112°
Hence the measure of all the 4 angles of the parallelogram is 68°,112°,68° and 112°.
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