Question

MZACB = (6y-7)° and mZDCA = (8y - 1)°.
B
A
D
|
C
What is mZACB?

Answer 1

Answer:
`35^(\circ)`

Explanation:

Angles ACB and DCA add to form angle ACB, which is a right angle, so:

• 6y - 7 + 8y - 1 = 90 [angles that add to form a right angle add to 90 degrees]
• 14y - 8 = 90 [combine like terms]
• 14y = 98 [add 8 to both sides]
• y = 7 [divide both sides by 14]

So,
`m\angle ACB=6(7)-7=\boxed{35^(\circ)}`