Question

Find the measure of the angle indicated by the ?​

Answer 1

?=50°

EXPLANATION

From the diagram,

x+45+53=180

x+98=180

x=180-98

x=82°

Using angles on a straight line property,

x+68+y=180

82+68+y=180

150+y=180

y=180-150

y=30°

Using the sum of interior angles of the triangle,

?+y+100=180

?+30+100=180

?+130=180

?=180-130

?=50°

Answer 2

Answer: 50 degrees.

Explanation:

The sum of the interior angles of a triangle is 180 degrees. Then, you can find the missing angle "x" of the larger triangle (Observe the figure attached):

`53\°+45\°+x=180\°\\x=180\°-53\°-45\°\\x=82\°`

We know that:

`x+y+68\°=180\°`

Then, "y" you need to substitute values and solve for "y":

`y=180\°-68\°-82\°=30\°`

Then the angle ? is:

`?=180\°-30\°-100\°\\?=50\°`