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

Question

asked Aug 2, 2023 90.7k views

1 Answer

MAG · Answer 1 · 2023-08-08T06:09:10+0000

Answer:

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

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