Question

two adjacentangles of a parallelogram are (3x- 4 )° and (3x+10°) find all the angle of a parallelogram​

Answer 1

Step-by-step explanation:

SOLUTION:-

WE KNOW THAT ADJACENT ANGLES OF A PARALLELOGRAM ARE EQUAL.

SO,

(3x – 4)° + (3x + 10)° = 180°

3x° + 3x° – 4 + 10 = 180°

6x = 180° – 6° x = 174°/6 = 29°

MEASURE OF ADJACENT ANGLES ARE,

(3x – 4)° = 3×29 – 4 = 83°

(3x + 10)° = 3×29 + 10 = 97°

WE KNOW THAT SUM OF ADJACENT ANGLES = 180°

∴ MEASURE OF EACH ANGLE IS 83°, 97°, 83°, 97°.

Answer 2

Step-by-step explanation:

The sum of adjacent angles of parallelogram = 180°

3x-4+3x+10=180

6x= 174

x= 29

Unknown angle 1= 3x-4 = 83 = angle 3

Unknown angle 2 = 3x+10 = 97 = angle 4