Question

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

Answer 1

Answer:

look at the picture i have sent

Answer 2

Answer:

$\displaystyle \angle4 = {108}^{ \circ}$

Step-by-step 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:

$\displaystyle \angle4 = {108}^{ \circ}$