Two angles of a quadrilateral measure 210° and 40°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?

Angles in the ratio 2:9 are 20° and 90° respectively.

Step-by-step explanation:

Sum of the angles of a quadrilateral = 360°

⇒ 2x + 9x + 210° + 40° = 360°

⇒ 11x + 250° = 360°

⇒ 11x = 360 - 250 = 110°

⇒ x = 110/11 = 10

∴ Angles are 2x = 20° and 9x = 90°

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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