Question

three angles of a quadrilateral measure 84°, 100° and 93°. find the measure of the fourth angle​

Answer 1

In context to questions asked,

We have to determine the value of fourth angles of quadrilateral.

As per question,

We have,

Three angles of a quadrilateral measure 84°, 100° and 93°

As we know that,

Sum of all angles of quardilateral is 360 degree.

So, for determining the value of fourth angle of quadrilateral we will determine the sum of given three angles, and then subtract the total sum of three angles from the total sum of all interior angles of quadrilateral.

So, sum of three angles will be $84^0+100^0+93^0=277^0$

Hence, value of fourth angle will be $=360^0-277^0 =83^0$

Hence, value of fourth angle of quadrilateral will be 83 degree.

Answer 2

let the measure of the fourth angle be x⁰

sum of all angles of a quadrilateral =360⁰

84⁰+100⁰+93⁰+x⁰=360⁰

277⁰+x⁰=360⁰

x⁰=360⁰-277⁰

x⁰=83⁰

therefore the measure of fourth angle is 83⁰