Question

Please Someone help me i got a question and i have a exams please help! i have attached the picture help me!​

Answer 1

Will recommend to keep in touch with picture as name of angles are based on it!

So as you can see BA is parallel to DC as the arrow signs are made on it. And the figure has four sides , therefore we get to know that the above picture is of parallelogram.

$\rm\angle B = \angle D$

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

$\hookrightarrow \sf2x =130 \degree$

$\hookrightarrow \sf x =130 \degree\div 2 \degree$

$\hookrightarrow \sf x = \dfrac{130}{2}$

$\hookrightarrow \sf x = \dfrac{13 \times 10}{2}$

$\hookrightarrow \sf x = \dfrac{13 \times\cancel{ 10}}{\cancel2}$

$\hookrightarrow \sf x = \dfrac{13 \times5}{1}$

$\hookrightarrow \sf x =13 \times5$

$\hookrightarrow \sf x =65 \degree$

Now Let's find value of y.

$\rm \angle DAB =\angle DCB$

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

$\dashrightarrow \rm x = y$

$\dashrightarrow \rm 65 = y$

$\dashrightarrow \bf y = 65 \degree$

• y + z + 60° = 180°

angles on same line

• 65 + 60 + z = 180°
• 125° + z = 180°
• z = 180° - 125 °
• z = 55°

At last :-

x = 65°

y = 65°

z = 55°

Answer 2

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Data

• x = ?
• y = ?
• z = ?

Sum of Angles in a Parallelogram

The sum of angles in a parallelogram is equal to 360°. To solve for all the missing numbers, we have to use some properties of parallelogram.

2x = 130

Reason: Opposite angles in a parallelogram are equal.

let's solve for x

$2x = 130 \\\frac{2x}{2} = \frac{130}{2}\\x = 65^0$

The value of x is 65°

Let's solve for y

$x+ 130 + y + 2x= 360\\x = 65\\65 + 130 + y + 2(65) = 360\\325 + y = 360\\y = 360 - 325\\y = 35$

The value of y is 35°

Let's solve for z

$60 + y + z = 180$

reason: sum of angles on a straight line is equal to 180°

$60 + y + z = 180\\60 + 35 + z = 180\\95 + z = 180\\z = 180 - 95\\z = 85^0$

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Learn more on parallelograms here;

https://brainly.com/question/24056495