Question

construct a triangle klm in which km =10 cm, angle k = 60 degree and angle m = 30 degree. measure angle l and the length of the side kl.

Answer 1

HERE IS THE ANSWER OF THE MEASURE OF THE ANGLE l
180°-(60°+30°)
=180°-90°
=90° 【Answer】

Answer 2

angle l is 90 degree

side kl is 10 cm

Step-by-step explanation:

given data

triangle klm

km =10 cm

angle k = 60 degree

angle m = 30 degree

to find out

angle l and the length of the side kl

solution

step (1) : first draw a line km of length 10 cm.

step (2) : at point k draw a ray kl making 60 degree to km.    

step (3) : at point m draw a ray ml making 30 degree to mk.  

now

we know sum of triangle is 180 degree

so

angle k + angle m + angle l  = 180

angle l = 180 - (angle k + angle m )

angle l =180 - (60 + 30 )

angle l = 90 degree

and

we apply here sin formula

sin90 = $\frac{Perpendicular}{hypotenuse}$   ................1

1 =  $\frac{x}{10}$

x = 10

so side kl is 10 cm

learn more :

length of sides of the triangles

1. https://brainly.in/question/8011639