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°