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

A 36 kg child slides down a slide that is 2.5m high. At the bottom of the slide she is moving at 3.0m/s. How much energy was lost as she slid down the slide?
Simplify completely: 2 square root 3 - square root 6 all over 3 square root 6 + 2 square root 3
Unlike its predecessor, World War II featured large scale civilian casualties. Which of these BEST explains why this was the case? A. Aircraft were used on a la
Which of the following is found on top of the epidermis of a plant? cuticle endodermis both a and b none of the above
How do polytheism and monotheism differ? A. Polytheists believe in many gods, while monotheists believe in one god. B. Polytheists believe in earth gods while m
use 425×79=33575 to work out 425×7.9=
Solve each equation for the given variable: 4x+6+3=17
What is $206.88 with a 5.75% sales tax
What is the only amendment to be repealed? Why was it repealed?
What is 1/3 of 21, 2/5 of 40 4/7 of 280