QUESTION 1
The base angles of the triangle are
[tex](5x )\degree \: and \: \:( 3x + 28) \degree[/tex]
The two red ticks on the two sides of the triangle tell us that, the two sides of the triangle are equal and that the triangle is isosceles.
Hence the base angles of the triangle are equal.
We can therefore write the equation below and solve for x.
[tex](5x )\degree \: = \: \:( 3x + 28) \degree[/tex]
We group like terms to get,
[tex]5x - 3x = 28[/tex]
This implies that,
[tex]2x = 28[/tex]
We divide both sides by 2 to obtain,
[tex]x = 14 \degree[/tex]
The correct answer is A.
QUESTION 2
Before we determine which statement is true or not, we must first find the third angle.
Recall that the sum of the interior angles in a triangle is 180°.
This implies that,
[tex]< \: EFD + 119 \degree = 180 \degree[/tex]
We group like terms to get,
[tex]< \: EFD = 180 \degree - 119 \degree[/tex]
We evaluate to obtain,
[tex]< \: EFD = 61 \degree [/tex]
Since two angles are equal, it means the triangle is isosceles. Therefore side
[tex]ED=FD[/tex]
The correct answer is C
