# Trapezium internal angles

A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D.

**Correct result:****Showing 1 comment:**

**Partho**

Let Angle A=4x, B= 3x-15, C=4x+20 and D=5x.

Using the property that sum of adjacent angles = 180 we get:

A + D = 180 or 4x+5x=180.

Solving we get x=20.

Substituting we get: A=80, B=100

Similarly, B+C=180 or

3x-15+4x+20=180

Solving we get x=25

Substituting we get: B=60, D=120.

Using the property that sum of adjacent angles = 180 we get:

A + D = 180 or 4x+5x=180.

Solving we get x=20.

Substituting we get: A=80, B=100

Similarly, B+C=180 or

3x-15+4x+20=180

Solving we get x=25

Substituting we get: B=60, D=120.

Tips to related online calculators

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

See also our trigonometric triangle calculator.

See also our trigonometric triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

## Next similar math problems:

- Eq2 2

Solve following equation with quadratic members and rational function: (x^{2}+1)/(x-4) + (x^{2}-1)/(x+3) = 23 - Expressions

Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a^{3}- b^{2}- 2ab z=a^{2}b^{3}- a^{3}b^{2}w=a + b + a^{3}- b^{2} - Trapezium

The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). if the area of the trapezium is 590, find the value of x. - Equations

Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44 - Internal angles

The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On its side BC is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA the point M is such that | DM | = 2 |MA|. Dete - Parallel and orthogonal

I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors) Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w - Expression with powers

If x-1/x=5, find the value of x^{4}+1/x^{4} - Expressions 3

If k(x+6)= 4x^{2}+ 20, what is k(10)=? - Evaluate 5

Evaluate expression x^{2}−7x+12x−4 when x=−1 - Equation 25

Solve following simple equation: 3/4(x+5)=1/2(x+9) - Simple equation 6

Solve equation with one variable: X/2+X/3+X/4=X+4 - Trapezoid 15

Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4 - Vectors abs sum diff

The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Center

Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18]. - Intersect and conjuction

Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Find the 9

Find the missing angle in the triangle and then name triangle. Angles are: 95, 2x+15, x+3 - Functions f,g

Find g(1) if g(x) = 3x - x^{2}Find f(5) if f(x) = x + 1/2