Question

∠1 ​and ∠2 are complementary angles.
∠1 = x°
∠2 = (3x + 30)°
Using this information, find the value of x.

Remember the formula for finding the missing degree in a right-angle (with two complementary angles)? Use ∠1 + ∠2 = 90°

x = 50
x = 75
x = 15
x = 150

Answer 1

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

In the given question, the two angles are complementary Angle pair, so the sum of their values will add up to 90°

that is ~

$\qquad \sf  \dashrightarrow \: (3x + 30) \degree + x \degree = 90 \degree$

$\qquad \sf  \dashrightarrow \: 3x + x + 30 \degree = 90 \degree$

$\qquad \sf  \dashrightarrow \: 4x = 90 \degree - 30 \degree$

$\qquad \sf  \dashrightarrow \: 4x = 60 \degree$

$\qquad \sf  \dashrightarrow \: x = 60 \div 4$

$\qquad \sf  \dashrightarrow \: x = 15 \degree$

Answer 2

Answer:

x = 15 (third option)

Step-by-step explanation:

Complementary angles sum up to 90°.

∠1 + ∠2 = 90°

x° + (3x + 30)° = 90°

x + 3x + 30 = 90

4x = 90 - 30

4x = 60

x = 60/4

x = 15

Hope it helps ⚜