Question

Solve for 44.
51°
64 = [?]
44 42=72°
57°
I

Answer 1

`\displaystyle \angle4 = {108}^( \circ)`

Explanation:

we are given a triangle

and we want to figure out the missing exterior angle of the triangle

in order to so

remember

the straight line theorem

therefore we get:

`\displaystyle {72}^( \circ) + \angle4 = {180}^( \circ)`

cancel 72° from both sides:

`\displaystyle \angle4 = {108}^( \circ)`

Alternate way:

recall that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

so we acquire:

`\displaystyle {51}^( \circ) + {57}^( \circ) = \angle4`

simplify addition:

`\displaystyle \angle4 = {108}^( \circ)`

Answer 2

look at the picture i have sent