here is the more clearer picture!!!!

Question

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Respuesta :

asmikatke asmikatke · Answer 1 · 2021-05-27T17:26:06+02:00

Answer:

angle FDA = 75 degrees

angle JAI = 75 degrees

Step-by-step explanation:

In ΔDCE,

angle D + angle C + angle E = 180......(sum of the interior angles of a triangle is always 180 degrees)

angle D + 80 + 25 = 180

angle D + 105 = 180

angle D = 180 - 105

angle D (I. e angle CDE ) = 75 degrees

Now, angle CDE and angle FDA are vertically opposite angles, so,

angle CDE = angle FDA..... (vertically opposite angles are congruent to each other)

therefore, angle FDA = 75 degrees

Now, angle CDE and angle BAD are corresponding angles, so,

angle CDE = angle BAD...... ( corresponding angles are congruent to each other)

angle BAD = 75 degrees

Now, angle BAD and angle JAI are vertically opposite angles, so,

angle BAD = angle JAI..... (vertically opposite angles are congruent to each other)

therefore, angle JAI = 75 degrees