Question

(x+30)° and (2x)° are the mesure of two supplementry angles what is the mesure of each angle
please help me​

Answer 1

Step-by-step explanation:

since mesure of two supplementry angles

then,

(x+30)°+(2x)° = 180°

x +30 + 2x = 180°

3x + 30= 180°

3x = 180-30

3x = 150

x = 150/3

x =50°

(x+30)° = 50 +30=80°

(2x)°= 2×50= 100°

mesure of each angle = 100° and 80°

Answer 2

Answer:

Question

(x+30)° and (2x)° are the mesure of two supplementry angles what is the mesure of each angle

To find

Measure of each angle

Solution

${ \underline{ \sf \large\color{grey}{Supplementary \: Angles }}}$

♦️ Two angles are called supplementary when their measures add up to 180 degrees.

$\sf{\implies \: (x + 30) \degree + 2x \degree = 180 \degree} \\ \\ \sf{\implies3x \degree = 180 \degree - 30 \degree} \\ \\ \sf{\implies3x \degree = 150 \degree }\\ \\ \sf{\implies \: x = \frac{150}{3} = 50 \degree}$

substitute the value of x.

☞(X+30)°= 50 +30= 80°

☞(2x)° = 2 × 50= 100°

So the required supplementary angles are 80° & 100°.

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More to know !!

✒️Two angles are called complementary when their measures add to 90 degrees.

✒️Complementary angles form a right-angled triangle.

E.g :∠A + ∠B = 90°.

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