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B. Directions: Solve for each angle given the following conditions. Use the figure at the right.

1. angle1=(3y)^ 0 , angle5=(y+30)^ 0 2. angle3=(2x+25)^ 0 , angle8=(5x-41)^ c 3. angle2=(3x-12)^ 0 , angle5=(x+8)^​

B Directions Solve For Each Angle Given The Following Conditions Use The Figure At The Right 1 Angle13y 0 Angle5y30 0 2 Angle32x25 0 Angle85x41 C 3 Angle23x12 0 class=

Sagot :

paraguimbag037483

Answer:

ACTIVITY 3

\underline{\underline{\bold{Directions:}}}

Directions:

Solve for each angle given the following conditions. Use the figure at the right.

1.) ∠1 = (3y)°, ∠5 = (y + 30)°

Notice in the figure, ∠1 and ∠5 are corresponding angles. So this means that these angles are congruent, and have the same measurement.

\underline{\bold{Solution:}}

Solution:

3y = y + 30

3y - y = 30

2y = 30

y = 30/2

y = 15

Now we've found the value of y. We'll now substitute the value of ∠1 and ∠5.

3y; y = 15

3(15)

45

y + 30

15 + 30

45

Are ∠1 and ∠5 have the same measurement? Yes, both of them have the measure f 45.

\underline{\bold{Answer:}}

Answer:

The value of y is 15.

∠1 = 45°

∠5 = 45°

2.) ∠3 = (2x + 25)°, ∠8 = (5x - 41)°

In the figure, ∠3 and ∠8 are alternate exterior angles. These angles are also congruent, which have the same measurements.

\underline{\bold{Solution:}}

Solution:

2x + 25 = 5x - 41

2x - 5x = 25 + 41

3x = 66

x = 66/3

x = 22

2x + 25; x = 22

2(22) + 25

44 + 25

69

5x - 41

5(22) - 41

110 - 41

69

Are the measures of ∠3 and ∠8 the same? Yes, they're both congruent so that means they have the measurement.

\underline{\bold{Answer:}}

Answer:

The value of x is 22

∠3 = 69°

∠8 = 69°

3.) ∠2 = (3x - 12)°, ∠5 = (x + 8)°

In the figure, ∠2 and ∠5 are same side interior angles. These angles are supplementary.

\underline{\bold{Solution:}}

Solution:

3x - 12 + x + 8 = 180

3x + x - 12 + 8 = 180

4x - 4 = 180

4x = 4 + 180

4x = 184

x = 184/4

x = 46

3x - 12

3(46) - 12

138 - 12

126

x + 8

46 + 8

54

126 + 54 = 180

\underline{\bold{Answer:}}

Answer:

The value of x is 46

∠2 = 126°

∠5 = 54°

4.) ∠2 = (4x - 10)°, ∠6 = (2x + 12)°

In the figure, ∠2 and ∠6 are alternate interior angles. So these angles are congruent as I mentioned earlier that congruent angles have the same measurement.

\underline{\bold{Solution:}}

Solution:

4x - 10 = 2x + 12

4x - 2x = 10 + 12

2x = 22

x = 22/2

x = 11

4x - 10

4(11) - 10

44 - 10

34

2x + 12

2(11) + 12

22 + 12

34

\underline{\bold{Answer:}}

Answer:

The value of x is 11

∠2 = 34°

∠6 = 34°

5.) ∠4 = (x + 5)°, ∠6 = (4x)°

In the figure, ∠4 and ∠6 are also same side interior angles. These angles are supplementary.

\underline{\bold{Solution:}}

Solution:

x + 5 + 4x = 180

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35

x + 5

35 + 5

40

4x

4(35)

140

140 + 40 = 180

\underline{\bold{Answer:}}

Answer:

The value of x is 35

∠4 = 40°

∠6 = 140°

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ichthus898

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