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2 years ago

The following angles are supplementary to each other.

Mathematics

2 answers:

Elan Coil [88]2 years ago

4 0

The value of x in given angles is 36°

<h3>What are supplementary angles?</h3>

When the sum of two angles is 180°, then they are said to be supplements of each other.

Given are two angles which are supplements of each other,

Then according to definition of supplementary angles,

m∠A+m∠B = 180°

(2x − 27)°+(3x + 27)° = 180°

2x+3x = 180°

5x = 180°

x = 180°/5

x = 36°

Hence, The value of x in given angles is 36°

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choli [55]2 years ago

3 0

Answer:

Step-by-step explanation:

(2x - 27) + (3x + 27)= 180 (supplementary)

2x - 27 + 3x + 27 = 180

2x + 3x + 27 - 27 = 180

5x + 0 = 180

180 ÷ 5 = x

36 = x

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3 years ago

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3 years ago

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The sum of three numbers is 88 . The first number is 7 less than the second. The third number is 3 times the second. What are th

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4 years ago

Find the measure of the numbered angles in rhombus ABCD

sasho [114]

Answer:

see the explanation

Step-by-step explanation:

we know that

In a Rhombus opposite angles are congruent and consecutive angles are supplementary

The diagonals are perpendicular and bisect the angles

step 1

Find the measure of angle 4

we know that

$m\angle 4=27^o$ --->by the diagonals bisect the angles

step 2

Find the measure of angle 1

we know that

$m\angle 1=27^o$ ----> by opposite angles are congruent

step 3

Find the measure of angle 2

we know that

$m\angle 1=m\angle 2$ ----> by the diagonals bisect the angles

$m\angle 2=27^o$

step 4

Find the measure of angle 3

we know that

$m\angle 3=90^o$ ----> by the diagonals are perpendicular

step 5

Find the measure of angle 5

we know that

$m\angle 5+27^o=90^o$ ----> by complementary angles

$m\angle 5=90^o-27^o=63^o$

step 6

Find the measure of angle 6

we know that

$m\angle 6=m\angle 5$ ----> by the diagonals bisect the angles

$m\angle 6=63^o$

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3 years ago