Question

8. ABD and BDC are complementary, find the measures of both angles if ABD = (x - 30)° and
BDC = 2x.​

Answer 1

Answer:

☆ Given:

Angles which are complementary:

= ABD and BDC angles

If ABD angle:

= (x - 30°)

And if BDC angle is:

= 2x

☆ To find:

The measures of both the angles -:

ABD and BDC

☆ Taken:

To find the measure of the angle ABD and BDC:

= 2x+x-30°=90°

☆ Concept:

First find the value of both the angles at one time.

Then find the value of ABD and BDC .

☆ Solution:

Value of ABD and BDC:

>> 2x+x-30°=90°

>> 3x-30°=90°

>> 3x=90°+30°

>> 3x=120°

>> x=120/3

>> x=40°

__________________________

Now , the value of ABD:

>> x=40°-30°

>> x=10°

Then , the value of BDC:

>> 2x(40°)

>> x=80°

☆ Answer:

Value of ABD:

= 10°

Value of BDC:

= 80°

☆ Additional information:

▪︎Complementary angle

= 90°

▪︎Suplementary angle

= 180°

▪︎Acute angle

= 0° to less than 90°

▪︎Right angle

= 90°

▪︎Obtuse angle

= More than 90° and less than 180°

▪︎Straight angle

= 180°

$\huge\mathbb{\underline{\fbox{\color{red}{\dag{Be\:Brainly}}}}}$

Answer 2

☆ Given:

Angles which are complementary:

= ABD and BDC angles

If ABD angle:

= (x - 30°)

And if BDC angle is:

= 2x

☆ To find:

The measures of both the angles -:

ABD and BDC

☆ Taken:

To find the measure of the angle ABD and BDC:

= 2x+x-30°=90°

☆ Concept:

First find the value of both the angles at one time.

Then find the value of ABD and BDC .

☆ Solution:

Value of ABD and BDC:

>> 2x+x-30°=90°

>> 3x-30°=90°

>> 3x=90°+30°

>> 3x=120°

>> x=120/3

>> x=40°

__________________________

Now , the value of ABD:

>> x=40°-30°

>> x=10°

Then , the value of BDC:

>> 2x(40°)

>> x=80°

☆ Answer:

Value of ABD:

= 10°

Value of BDC:

= 80°

☆ Additional information:

▪︎Complementary angle

= 90°

▪︎Suplementary angle

= 180°

▪︎Acute angle

= 0° to less than 90°

▪︎Right angle

= 90°

▪︎Obtuse angle

= More than 90° and less than 180°

▪︎Straight angle

= 180°

\huge\mathbb{\underline{\fbox{\color{red}{\dag{Be\:Brainly}}}}}

†BeBrainly

☆ Given:

Angles which are complementary:

= ABD and BDC angles

If ABD angle:

= (x - 30°)

And if BDC angle is:

= 2x

☆ To find:

The measures of both the angles -:

ABD and BDC

☆ Taken:

To find the measure of the angle ABD and BDC:

= 2x+x-30°=90°

☆ Concept:

First find the value of both the angles at one time.

Then find the value of ABD and BDC .

☆ Solution:

Value of ABD and BDC:

>> 2x+x-30°=90°

>> 3x-30°=90°

>> 3x=90°+30°

>> 3x=120°

>> x=120/3

>> x=40°

__________________________

Now , the value of ABD:

>> x=40°-30°

>> x=10°

Then , the value of BDC:

>> 2x(40°)

>> x=80°

☆ Answer:

Value of ABD:

= 10°

Value of BDC:

= 80°

☆ Additional information:

▪︎Complementary angle

= 90°

▪︎Suplementary angle

= 180°

▪︎Acute angle

= 0° to less than 90°

▪︎Right angle

= 90°

▪︎Obtuse angle

= More than 90° and less than 180°

▪︎Straight angle

= 180°

\huge\mathbb{\underline{\fbox{\color{red}{\dag{Be\:Brainly}}}}}

†BeBrainly