All categories

3 years ago

Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD? 40° 50° 60° 70°

Mathematics

2 answers:

melamori03 [73]3 years ago

7 0

Answer: The correct option is 1 and measure is 40.

Explanation:

It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.

Draw a diagram using given information,

From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.

$\angle ABD+\angle CBD=180$

$\angle ABD+140=180$

$\angle ABD=180-140$

$\angle ABD=40$

Therefore, the correct option is 1.

LekaFEV [45]3 years ago

7 0

Answer:

OPtion A. 40°

Step-by-step explanation:

Three points A, B, and C are on a straight line. Angle CBD has a measure of 140°then we have to calculate the measure of angle ABD.

As we know two angles at a point and on a straight line supplement each other.

Therefore ∠CBD + ∠ABD = 180°

∠ABD + 140 = 180

∠ABD = 180 - 140 = 40°

Therefore ∠ ABD will measure 40°.

Option A. 40° is the answer.

You might be interested in

triangle ABC has coordinates A(4, 1), B(2, 3), and C(7, 5). If the triangle is rotated 270° counterclockwise about the origin, w

Kitty [74]

Coordinates of a' would be (1,-4)

4 0

3 years ago

Gail is 6 years younger than Mark.Let m= Mark’s age which expression equals Gail’s age?

OLEGan [10]

The answer is C M-6

3 0

3 years ago

Question Help James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall.

BARSIC [14]

What I did was I subtracted 4500 minus 500 because it was a fee then I divide 4400 by 35 and I got 125 people.

3 0

3 years ago

Read 2 more answers

Which equation is represented by the table?

lys-0071 [83]

What table? i think you need to upload a picture of it or something

8 0

3 years ago

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

olganol [36]

Answer:

The equation of the line is.

$y=-\frac{5}{2}x-4$

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is.

$\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}$

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

$\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}$

$\frac{x}{-4}=\frac{y+4}{6+4}$

$-\frac{x}{4}=\frac{y+4}{10}$

$-\frac{10x}{4}=y+4$

$-10x=4(y+4)$

$-10x=4y+16$

$4y=-10x-16$

The above equation is divided by 2 both sides.

$2y=-5x-8$

$y=-\frac{5}{2}x-4$

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is $y=-\frac{5}{2}x-4$

8 0

3 years ago