Question

find the unknown angle.
Don't answer if you don't know. Don't be greedy of points.
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Answer 1

Answer:

i)angle a=60°

ii)m= 20

iii)b=50°

Step-by-step explanation:

in  i)we have an exterior angle as 120

we know that linear pairs add up to 180

so [180-120=60] so one angle in triangle is 40dergree

now sum of all sides of triangle is 180 so

60+2a=180

2a=180-60

a=120/2

=60

Answer 2

Answer:

1) a = 60

2) m = 20

3) b = 52.5, a = 75

Step-by-step explanation:

Rules to Remember:

- a straight line has an angle of 180°

- a triangle's interior angles has a sum of 180°

Question 1:

This question follows a special rule, in which 120° is equivalent to 2a.

(I recommend doing more research if you don't understand why)

2a = 120°

a = 60°

Question 2:

This question also follows the same rule as above.

However, we first have to find the value of the unlabeled interior angle on the top left side of the triangle (I will label that angle as x).

A straight line is 180°, therefore:

x = 180° - 4m

And according to the 'special rule', 140° is equivalent to x + 2m, so:

140° = x + 2m

140° = (180° - 4m) + 2m

140° = 180°- 2m

-2m = 140° - 180°

-2m = -40°

2m = 40°

m = 20°

Question 3:

And again... this question follows the same rule.

b + b = 105°

b = 52.5°

And finally, to find a.. remember that a straight line is 180°

a = 180° - 105°

a = 75°

Hope this helps!

(and I recommend taking the time to understand the rules of triangles)