Find the value of x. Give reasons to justify your solution-

x = 13

Step-by-step explanation:

Since AD is a straight line, then the 3 angles at C sum to 180° , thus

∠ BCE = 180° - (90 + 64)° = 180° - 154° = 26°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABE is an exterior angle of the triangle, thus

3x = x + 26 ( subtract x from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it