Question

find the measures of third angle of a triangle when the two angles are
a)115,35
b)60,40
c)42,80

Answer 1

Answer:

a)30

b)80

c)58

Step-by-step explanation:

using angle sum property i.e

sum of all angles of a triangle is 180

a) let the unknown angle be x

115+35+x=180

150+x=180

x=180-150

x=30

b)let the unknown angle be y

60+40+y=180

100+y=180

y=180-100

y=80

c)let the unknown angle be z

42+80+z=180

122+z=180

z=180-122

z=58

Hope this helps!!!!

Answer 2

Answer:

a) let <a= 115

<b=35

Let the 3rd angle be =<c

<a + <b + <c = 180 ( angle sum property of a triangle)

115+35+<c=180

150 +<c= 180

<c= 30( measure of the 3rd angle)

b) let

<a=60

<b=40

<c=?

<a + <b + <c = 180 ( angle sum property of a triangle)

60+40+<c=180

100+<c=180

<c=80 ( measure of the 3rd angle)

c) <a=42

<b=80

<c=?

<a + <b +<c = 180 (. Angle sum property of a triangle)

42+80+<c= 180

122+<c=180

<c= 58 ( measure of the 3rd angle)

Step-by-step explanation: