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EspionageGirl

Answer:

Please mark be brainliest and I hoped this helped!

x = 80°

Step-by-step explanation:

These are both isosceles triangles, so the top 2 angles are both 65°. The last angle of that triangle is 180° - (65° + 65°) which is 50°. Then, the opposite of that angle is in the next traingle. It is also 50°. So the 2 base angles are both 50°, so x is 180° - (50° + 50°) which is 80°.

The measure of angle 'x' is 65 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

Angles  ---  [tex]65^\circ[/tex] and x

The following steps can be used in order to determine the measure of angle 'x':

Step 1 - Both the triangles are isosceles triangles because in both the triangles two sides are similar.

Step 2 - Let the upper triangle be ABC and the lower triangle be DBE.

Step 3 - The angle B of the triangles can be calculated as:

[tex]\angle A + \angle B + \angle C = 180[/tex]

[tex]65+65+\angle B = 180[/tex]

[tex]\angle B = 50^\circ[/tex]

Step 4 - Now, angle 'x' can be calculated as:

[tex]\begin{aligned}\\\angle D + \angle B + \angle E &= 180\\x+x + 50 &= 180\\2x &= 130\\x &= 65^\circ\\\end{aligned}[/tex]

The measure of angle 'x' is 65 degrees. Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/7558603

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