Answer :
Measure of angle C [tex](\(m\angle C\))[/tex] is 70 degrees.
To find angle C [tex](\(m\angle C\))[/tex], we can use the properties of a parallelogram and the fact that the sum of the angles in a triangle is 180 degrees.
In a parallelogram, opposite angles are equal. So, since angle ABD [tex](\(\angle ABD\))[/tex] is 62 degrees, angle CBD [tex](\(\angle CBD\))[/tex] is also 62 degrees.
Now, let's consider triangle ABD. The sum of the angles in a triangle is 180 degrees. So, we can find angle BAD [tex](\(\angle BAD\))[/tex] as follows:
[tex]\(m\angle BAD = 180 - m\angle ABD - m\angle ADB\)\\\\\(m\angle BAD = 180 - 62 - 70\)\\\\\(m\angle BAD = 48\) degrees[/tex]
Now, since opposite angles in a parallelogram are equal, we can say that angle BCD [tex](\(\angle BCD\))[/tex] is also 48 degrees.
Now, to find angle C [tex](\(m\angle C\))[/tex], we can use the fact that the sum of the angles in a triangle is 180 degrees:
[tex]\(m\angle C = 180 - m\angle CBD - m\angle BCD\)\\\\\(m\angle C = 180 - 62 - 48\)\\\\\(m\angle C = 70\) degrees[/tex]
So, angle C measures 70 degrees.
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Answer:
48°
Step-by-step explanation:
..,.............,...........
CDB = ABD( given)
CBD= ADB( given)
Now,
CBD+CDB+C = 180°
70°+62°+ C = 180°
C= 180°-132°
C= 48°
