How do you find the measure of each angle? Geometry!?

Question

In triangle XYZ, measure of angle Z is two more than twice of meausure of angle X, and measure of angle Y is seven less than twice of measure than twice of measure of angle X. What is the meausre of each angle?

how would you find the measure of the angles???

Answer 1

its easy if you draw the picture then write each angle in terms of x



you get angle x being x

and y 2x-7

and z 2x+2

then add those all together and set them equal to 180 - the number of degrees in a triangle



x+2x+2+2x-7=180



5x-5=180



5x=185



x=37



so thats the measure of angle x



to find y - plug in 37 for x



so 2(37)-7

74-7=67



z - 2(37)+2

74+2=76



to check add them all up and they should equal 180



37+67+76=180



There you're done!!

Answer 2

triangle XYZ, , measure of angle Z is two more than twice of meausure of angle X,



1) z = 2x + 2



measure of angle Y is seven less than twice of measure than twice of measure of angle X.



2) y = 2x - 7



Sum of angles



3) x + y + z = 180



x + (2x - 7) + (2x + 2) = 180 {substitute for y & z from equations 2 & 1



x + 2x - 7 + 2x + 2 = 180



5x - 5 = 180



5x = 185



x = 37



1) z = 2(37) + 2 = 74 + 2 = 76



2) y = 74 - 7 = 67



check



37 + 67 + 76 = 180



180 = 180

Answer 3

permit x = indoors perspective permit y = exterior perspective indoors angles and outdoors angles are complementary: x+y = a hundred and eighty x = 38y + 24 a hundred and eighty-y = 38y + 24 39y = 156 y = 4 the exterior perspective = 4 Sum of all exterior angles of a closed polygon is 360. on the grounds that it rather is a familiar polygon, all exterior angles are equivalent. Sum of exterior angles is the made from the variety of components and the diploma of the attitude. 4n = 360 n = ninety The polygon has ninety components. ...