Question

in the adjoining figure AB||CD ECD=135°and EAB=130°.The measure of x is.​

Answer 1

Answer :

The value of x is 95°

Step-by-step explanation :

Given that :

• In the adjoining figure AB║CD.
• ECD = 135°
• EAB = 130°

To Find :

The measure of x.

Solution :

If we see the figure we observe that :

CD ║ AB.

If we make one line but it should be perpendicular from CD to AB It will make a 5 sided pentagon.

We know that :

$\bigstar\;\boxed{\sf Sum\; of\; all\; exterior\; angles\; of\; any\; polygon = 360}}$

Values in Equation :

$\tt \implies \dfrac{360}{5}\quad (Exterior\;angle\; of\; regular\;pentagon)\\ \\\implies 72\\ \\\implies 180-72=108\quad(\angle 1\;of\;regular\; pentagon)\\ \\\implies 108 \times5=540\\ \\\implies x+135+130+90+90=540\\ \\\implies x+265+180=540\\ \\\implies x+445=540\\ \\\implies x=540-445\\ \\\implies x=95\\ \\ \\\bigstar\;\textbf{\underline{\underline{Hence, The value of x = 95.}}}$

Answer 2

Answer:

thanks bro for the answer