Answer :
Given AD = BD, m∠E = 90°, and m∠DBA = 24°, we find m∠EAD = 66° using properties of isosceles triangles and the sum of interior angles in a triangle.
The correct answer is option 4.
Given that side AD is congruent to side BD (AD = BD), angle E is a right angle (m∠E = 90°), and angle DBA measures 24 degrees (m∠DBA = 24°), we can solve for angle EAD.
Since AD is congruent to BD, triangle ADB is an isosceles triangle. In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, angle DAB is equal to angle DBA, which is 24 degrees.
In triangle ADE, the sum of the interior angles is 180 degrees. We know that angle DAE is a right angle since it's formed by the perpendicular line from point E to line AD. Therefore, angle EAD can be found by subtracting the measures of angles DAE and DAB from 180 degrees.
m∠EAD = 180° - m∠DAE - m∠DAB
m∠EAD = 180° - 90° - 24°
m∠EAD = 66°
Thus, angle EAD measures 66 degrees. The correct answer is option 4.
Answer:
Answer is 42 degrees
Step-by-step explanation:
I had my friend brute force guessing it for me and the right answer is 42
