Using a compass draw an angle of measure 135.


Answer:

A B O P Q R S T U X Y V 135°

Step by Step Explanation:
  1. Draw a line AB.
    A B
  2. With O as the centre and any convenient radius, draw an arc, cutting AB at P and Q.
    A B O P Q
  3. With Q as the centre and the same radius, draw an arc, cutting the arc drawn in step 2 at R.
    A B O P Q R
  4. With R as the centre and the same radius, draw an arc, cutting the arc drawn in step 2 at S.
    A B O P Q R S
  5. With R as the centre and the same radius, draw an arc.
    A B O P Q R S T
  6. With S as the centre and the same radius, draw an arc, cutting the arc drawn in the previous step at T.
    A B O P Q R S T
  7. Draw OT and produce it to U.
    A B O P Q R S T U
  8. With P as centre and radius more than half of PX, draw an arc in the interior of AOU.
    A B O P Q R S T U X Y
  9. With X as centre and the same radius, as in the above step, draw another arc intersecting the arc drawn in the previous step at Y.
    A B O P Q R S T U X Y
  10. Join OY and produce it to V.BOV is the required angle of measure 135.
    A B O P Q R S T U X Y V 135°

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