pandapaigel24
pandapaigel24 pandapaigel24
  • 16-12-2021
  • Mathematics
contestada

The quadrilateral shown is a trapezoid with one pair of parallel sides. If m<1 = 90' and m<3 = 160, what is m<2 + m<4?

The quadrilateral shown is a trapezoid with one pair of parallel sides If mlt1 90 and mlt3 160 what is mlt2 mlt4 class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 16-12-2021

Step-by-step explanation:

the sum of all internal angles of any quadrilateral has to be 360°.

like in rectangles (4×90 = 360).

in this trapezoid 2 of the rectangle angles are just a little bit distorted : one angle gets more, which it takes from the other. but together these 2 angles must be 180°, as the remaining 2 angles are "normal" rectangle angles of 90°.

therefore

180 = angle 3 + angle4 = 160 + angle4

angle4 = 180 - 160 = 20°

and therefore,

angle2 + angle4 = 90 + 20 = 110°

Answer Link

Otras preguntas

Use the distributive property of multiplication to find 6×24. Hint: 24= 4+20.
What is the main difference between dew and clouds?
It costs $2 per person to ride the Ferris wheel. Write an equation relating the cost, c, to the number of people, n. Please help.
plz help me I need help​
what should be added to 4x get 9X please help me in this pic also all​
the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km
What can you infer from the text as to the reason why Antarctica has no permanent residents?
Functions (solid) and g(dash) are graphed. What is the equation of g?
HELP ME ASAP !!!!! ITS DUE TODAY
Select the best answer. Personal hygiene involves Having good personal hygiene can prevent Proper grooming habits include Tattoos in the workplace should be