Question

find the value of x
please answer this ​

Answer 1

Answer

we know that interior angles of a quadrilateral equal 360 degrees so..

and there are also two right angles so..

75 + x + 90 + 90 = 360

x + 255 = 360

x = 105

hope this helps!

Answer 2

Answer:

The value of $x^{0}$ is $105^{0}$.  

Step-by-step explanation:

Given : A trapezoid say ABCD is given.

            m∠A = $75^{0}$

            m∠B = $90^{0}$

            m∠C = $90^{0}$

            m∠D = $x^{0}$

To find : The measure of ∠D i.e. the value of $x^{0}$.

Solution :

• We have given a trapezoid say ABCD.
• The measures of all angles are,

            m∠A = $75^{0}$

            m∠B = $90^{0}$

            m∠C = $90^{0}$

            m∠D = $x^{0}$

• We know that, sum of all angles of a trapezoid is $360^{0}$.
• According to above data, the equation becomes

          m∠A + m∠A + m∠A + m∠A = $360^{0}$

• Put all the given measures of angles, we get

              $75^{0}$+ $90^{0}$+ $90^{0}$+$x^{0}=360^{o}$

                       ∴ $255^{0} +x^{0} =360^{0}$

                                 ∴ $x^{0}=360^{0} -255^{0}$

                                 ∴ $x^{0}=105^{0}$

• ∴ The value of $x^{0}$ is $105^{0}$.