What is the measure of this angle?

Mathematics

2 answers:

Serjik [45]2 years ago

8 0

Answer:

42 degrees

Step-by-step explanation:

Find opposite side of 132 degrees which is 48. Add 48 and 90 because of right angle to get 138. Then do 180-138 to get 42 degrees for remaining angle

brilliants [131]2 years ago

6 0

Answer:

42°

Step-by-step explanation:

<u>132 is the exterior angle, which is the sum of the two non-adjacent interior angles:</u>

x + 90° = 132°
x = 42°

You might be interested in

Solve the proportion

4vir4ik [10]

Answer:

The proportion is 2/7 = 12/42

x = 12

The answer is 12

8 0

3 years ago

Help math question derivative!

atroni [7]

Let $f(x)=\sec^{-1}x$ . Then $\sec f(x)=x$ , and differentiating both sides with respect to $x$ gives

$(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1$
$f'(x)=\dfrac1{\sec f(x)\tan f(x)}$

Now, when $x=\sqrt2$ , you get

$(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}$

You have $\sec^{-1}\sqrt2=\dfrac\pi4$ , so $\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2$ and $\tan\left(\sec^{-1}\sqrt2\right)=1$ . So $(\sec^{-1})'(\sqrt2)=\dfrac1{\sqrt2\times1}=\dfrac1{\sqrt2}$