Question

What is the measure of <x​

Answer 1

`\huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}`

Explanation:

♨ First , let's know about complementary angles :

• Two angle are said to be complementary if the sum of their measures is 90° .
• The best way to think of a complementary angle is ' L - Pattern ' .

✎ Now, set up an equation and solve for x :

• 
  `\sf{x \degree + 76 \degree = 90 \degree}`

Move 76° to R.H.S ( Right Hand Side ) and change it's sign

➺
`\sf{x \degree = 90 \degree - 76 \degree}`

➺
`\boxed{ \bold{ \sf{x \degree = 14 \degree}}}`

And we're done !

Hope I helped!

Have a wonderful time ! ツ

Answer 2

14°

Explanation:

We know that ∠PQS is a right angle.

We also know that ∠PQR is 76°.

So, to find ∠RQS, we can do 90°-76° = 14°

x° = 14°