Mathematics
Grade9
Easy

Question

These two triangles are congruent. If angle C space i s space 40 degree, then  the measure of angle F is

  1. 40°
  2. 50°
  3. 90°
  4. 45°

hintHint:

The two triangles are given congruent. So the respective angles of both the triangles will be equal. Now as we know that sum of all the three angles of a triangle are 180degree, so using the theorem we can find the third angle of the triangle where two angles are given.

The correct answer is: 50°


    Given ,
    increment A B C approximately equal to increment D F E
S o comma space angle C equals angle E equals space 40 degree
a l s o comma space angle A equals angle D equals 90 degree
    In
    increment D F E comma
angle D plus angle F plus angle E equals 180 degree left parenthesis s u m space o f space i n t. space a n g l e s space o f space a space t r i a n g l e right parenthesis
90 degree plus angle F plus 40 degree equals 180 degree
130 degree plus angle F equals 180 degree
angle F equals 180 degree minus 130 degree
space space space space space space space equals 50 degree

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