Question

Given: mZHAW = 77.

mZHAK = 4x - 2
mZKAW = 2x - 5
Find mZHAK and mZKAW.
a) mZHAK = 15°, mZKAW = 10°
b) mZHAK = 20°, mZKAW = 10°
c) mZHAK = 10°, mZKAW = 15°
d) mZHAK = 10°, mZKAW = 20°

Answer 1

To find mZHAK and mZKAW, substitute the value of mZHAW into the given equations and solve for x. Then substitute the value of x into the equations for mZHAK and mZKAW. The values of mZHAK and mZKAW are both 77°.

Step-by-step explanation:

To find mZHAK, we can use the given equation mZHAK = 4x - 2. Substitute the value of x into the equation. Similarly, to find mZKAW, we can use the given equation mZKAW = 2x - 5. Substitute the value of x into the equation. Let's solve:

Given: mZHAW = 77, mZHAK = 4x - 2, mZKAW = 2x - 5

Substitute the value of mZHAW into the equation for mZHAK:
77 = 4x - 2

Solve for x:

4x = 79
x = 79/4

Substitute the value of mZHAW into the equation for mZKAW:
77 = 2x - 5

Solve for x:

2x = 82
x = 82/2

Hence, the values of mZHAK and mZKAW are:

mZHAK = 4(79/4) - 2
mZHAK = 79 - 2
mZHAK = 77°

mZKAW = 2(82/2) - 5
mZKAW = 82 - 5
mZKAW = 77°