All categories

2 years ago

the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below

Mathematics

1 answer:

Dvinal [7]2 years ago

5 0

Answer:

∠ABC= 82°

∠ACB= 82°

∠BAC= 16°

Step-by-step explanation:

∠ABC +∠ACB +∠BAC = 180° (∠ sum of △ABC)

(5x -3)° +(5x -3)° +(x -1)°= 180°

5x -3 +5x -3 +x -1= 180

11x -7= 180 (simplify)

11x= 180 +7 (+7 on both sides)

11x= 187

x= 187 ÷11

x= 17

∠ABC

= (5x -3)°

= [5(17) -3]°

= 82°

∠ACB

= ∠ABC

= 82°

∠BAC

= (17 -1)°

= 16°

Alternatively,

∠BAC

= 180° -82° -82°

= 16°

You might be interested in

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

$\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\$

6 0

3 years ago

If 3 is divided into pieces that are 1/2 of a whole each, how many pieces are there in total?

ololo11 [35]

Answer: 6

All u have to do is multiply 3 and 2 to get 6

3 0

3 years ago

Lee records the height of players on a basketball team and calculates the mean absolute deviation of the set of data.

ladessa [460]

Answer:

Bhshahahshshahahshshshwwhabahahahajwuwiwiiw

3 0

3 years ago

Convert the following in standard form : -4x=4y-52

goldenfox [79]

The standard form of any linear equation with two variables is $ax+by=c$ , where a, b, and c are constants. To convert this equation to standard form, simply subtract $4y$ from both sides to get

$-4x-4y=-52$

We could leave it in this form, though, in this case, it might be better at if we multiplied both sides by -1 to get

$4x+4y=52$

8 0

3 years ago

Solve each system of equations 1.) 2x- 5y = 7 3x - y = -9

vredina [299]

Answer:

x= -4 and y= -3

5 0

3 years ago

the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below ​

the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below