Question

30 POINTS + BRAINLIEST!

Answer 1

Answer:

Lets go by a step-by-step process.

Step-by-step explanation:

\cos (90-\Theta )=\sin \Theta  

Now,

\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}

Now we have...

 90-(x+22)= (2x-7)

90-x-22= (2x-7)

68=3x -7

75=3x

x=25^{\circ}

Answer 2

We have to find the value of 'x' in $\sin (x+22)^{\circ}=\cos (2x-7)^{\circ}$

By using the complementary angle formula which states:

$\cos (90-\Theta )=\sin \Theta$

Now,

$\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}$

Therefore, we get

$90-(x+22)= (2x-7)$

$90-x-22= (2x-7)$

$68=3x -7$

$75=3x$

$x=25^{\circ}$