find the value of each variable in these rhombus
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a=c=75°
b=105°
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Answer:
a = c = 75°
b = 105°
Explanation:
The opposite angles of a rhombus are always equal.
Therefore b = 105°
Adjacent angles of a rhombus are supplementary,
Therefore,
b + c = 180°
105° + c = 180°
c = 180° - 105°
Therefore c = 75°
Since the opposite angles of a rhombus are congruent,
c = a = 75°
a = c = 75°
b = 105°
Explanation:
The opposite angles of a rhombus are always equal.
Therefore b = 105°
Adjacent angles of a rhombus are supplementary,
Therefore,
b + c = 180°
105° + c = 180°
c = 180° - 105°
Therefore c = 75°
Since the opposite angles of a rhombus are congruent,
c = a = 75°
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