Question

Can I get some help on this problem please

Answer 1

We know that sum of angles of any quadrilateral is 360°.

The four angles are given as: x°, x°, 1/2 x° and 1/2 x°


`sum = 360 \\ \\ x + x + (1)/(2) x + (1)/(2) x = 360 \\ \\ (2x + 2x + x + x)/(2) = 360`


`(6x)/(2) = 360 \\ \\ 3x = 360 \\ \\ x = (360)/(3) = 120`

Thus, x = 120

The angles are:


`(1)/(2) x = (1)/(2) * 120 = 60 \\ \\ (1)/(2) x = (1)/(2) * 120 = 60`

`x = 120 \\ \\ x = 120 \\ \\ \boxed{all \: angles : {60}^(o), \: {60}^(o) ,\: {120}^(o), \: {120}^(o)}`