Question

*The complementary angle of ∠x is 1 1/2 times of ∠x. What is its measure ?*

1️⃣ 36°
2️⃣ 42°
3️⃣ 54°
4️⃣ 64°
don't do wrong answer​

Answer 1

Answer:

complimentary angle of angle x is 1 1/2.x=3x/2

so,

x+3x/2=90

=> 5x/2=90

=> x=90×2/5=18×2=36

so x=36°

here 1 is the correct answer

Answer 2

The measure of the angle is 36°. So, option 'A' is correct.

Given:-

The complementary angle of x = 1 1/2x

To Find:-

The measure of the angle.

Solution:-

We can simply calculate the measure of the angle by using these simple steps.

As

The complementary angle of x = 1 1/2x

The angle itself = x

Sum of complementary angles = 90°

So, according to the equation

$x + 1 \frac{1}{2} x = 90$

$x + \frac{3}{2}x = 90$

$\frac{2x + 3x}{2} = 90$

$2x + 3x = 90 \times 2$

$5x = 180$

$x = \frac{180}{5}$

$x = 36$

Hence, The measure of the angle is 36°. So, option 'A' is correct.

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