Answer:
(a)
Step-by-step explanation:
using the following
The sum of the 3 angles in a triangle = 180°
The sum of the angles on a straight angle = 180°
To find x subtract the sum of the 2 given angles in the triangle from 180
x = 180 - (56 + 38) = 180 - 94 = 86 ( sum of angles in a triangle )
To find z, subtract x from 180
z = 180 - 86 = 94 ( angles on a straight angle )
To find y subtract the sum of the 2 angles from 180
y = 180 - (94 + 19) = 180 - 113 = 67
x = 86, y = 67 and z = 94
Answer:
Option d. is correct
Step-by-step explanation:
Angle Sum Property :
Sum of angles of a triangle is [tex]180^{\circ}[/tex]
In triangle ABD,
[tex]38^{\circ}+56^{\circ}+x=180^{\circ}\\x+94^{\circ}=180^{\circ}\\x=180^{\circ}-94^{\circ}=86^{\circ}[/tex]
As x and z forms a linear pair, x + z = [tex]180^{\circ}[/tex]
[tex]86^{\circ}+z=180^{\circ}\\z=180^{\circ}-86^{\circ}=94^{\circ}[/tex]
In triangle ABC ,
[tex]38^{\circ}+19^{\circ}+56^{\circ}+y=180^{\circ}\\113^{\circ}+y=180^{\circ}\\y=180^{\circ}-113^{\circ}=67^{\circ}[/tex]
So, option d. is correct
