pranavan2107 pranavan2107
  • 20-02-2018
  • Mathematics
contestada

In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.

Respuesta :

driscollbella24
driscollbella24 driscollbella24
  • 20-02-2018
Let AB extended intersect DC extended at point E 
We now have right triangle BEC with E = 90 degrees 

For triangle BEC: 
Exterior angle at E = 90 
Exterior angle at C = 148 (given) 
Exterior angle of all polygons add up to 360 degrees 
Exterior angle at B = 360−148−90 = 122 

So in quadrilateral ABCD 
B = 122 
D = 360−44−148−122 = 46
Answer Link

Otras preguntas

[tex] - 50 = - 2(1 + 3x) -(x + 6) [/tex]
How do you think Upton Sinclair feels about what goes on in Packingtown? Why do you think so? Answer: Sinclair was disgusted by what goes on in Packingtown.Sin
a ship travels northward at 20 km/h for 4 h what distance did the ship travel in km
WILL MARK BRAINLIEST!! I'll give away points, if someone could just please help me with this?? Mariam collected 3 more bags than Carla did. They collected a tot
Estimate the value for 102.3 divided by 4.7
How do I find z,x, and y in a triangle with three angles of 64 degrees, 28 degrees, and 39 degrees
in an ecosystem, organisms are dependent on each other for survival. Small fish eat plankton. In the fish, chemical from plankton is converted in to A.) oxygena
Use this diagram to take notes about the battles between native Americans and settlers
Who commissioned Bramante to build the structure below?
Choose the words that represent the number 1030. (2 points) Question 10 options: 1) mil 2) mil tres 3) mil treinta 4) mil trescientos