Find the values of the variables.
1 answer:
Answer:
x = 82
y = 98
z = 87
Step-by-step explanation:
By inscribed angle theorem:
x° and y° are the measures of the opposite angles of a cyclic quadrilateral.
Opposite angles of a parallelogram are supplementary.
Therefore,
x° + y° = 180°
82° + y° = 180°
y° = 180° - 82°
y° = 98°
y = 98
Similarly,
93° + z° = 180°
z° = 180° - 93°
z° = 87°
z = 87
You might be interested in
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
To find,
The gain percent
Solution,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
So, the profit percentage is 33.34%.