Mathematics
Grade9
Easy

Question

When EF intersects AB and CD, the measure of angle E P A is ________.

  1. 75°
  2. 60°
  3. 30°
  4. 45°

hintHint:

In this question we have to find the required angle angle E P A. For this it is given that AB is parallel to CD and EF is the transversal So angle E P A = angleCQP Also with linear pair we can find the value of angle C Q P.

The correct answer is: 45°


    When EF intersects AB and CD, the measure of angle E P A is __45degree______.

    APQ,
    space space space space space angle C Q P plus angle C Q F equals 180 degree
rightwards double arrow angle C Q P plus 135 degree equals 180 degree
rightwards double arrow angle C Q P equals 180 degree minus 135 degree
rightwards double arrow angle C Q P equals 45 degree
    AB is Parallel to CD, EF is the transversal.
    So, angle C Q P equals angle E P A equals 45 degree left parenthesis c o r r e s p o n d i n g space a n g l e s right parenthesis

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