Question

Anyone know answers to these? I don’t understand these at all

Answer 1

`\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}`

Explanation:

Quadrilateral ABCD is a parallelogram.

opposite angles of a parallelogram are equal in measure.

`\implies (10x-19)\degree=(9x-5)\degree`

`\implies 10x-19=9x-5`

`\implies 10x-9x=19-5`

`\implies x=14`

`m\angle B= (9x-5)\degree`

`\implies m\angle B= (9*14-5)\degree`

`\implies m\angle B= (126-5)\degree`

`\huge\implies m\angle B= 121\degree`

Opposite sides of a parallelogram are equal.

3y - 1 = y + 15

3y - y = 15 + 1

2y = 16

y = 16/2

y = 8

AD = 3y - 1 = 3*8 - 1 = 24 - 1

AD = 23