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Mathematics

Grade9

Easy

Question

Find $angle D A C$ .

45^°
60^°
30^°
120^°

hint Hint:

To find angle DAC in this question we will use the theorem - sum of consecutive interiors angles are 180 deg. As we can see AC is parallel to BE and AB is the transversal so angle DAC and angle DBE are forming the consecutive angles.

The correct answer is: 60^°

APQ,
$A C parallel to B E comma space A B space i s space t h e space t r a n s v e r s a l. angle D B E equals 120 degree A s comma space S u m space o f space c o n s e c u t i v e space i n t e r i o r space a n g l e s space 180 degree. S o comma space angle D B E plus angle D A C equals space 180 degree rightwards double arrow space space space space space space 120 degree plus space angle D A C equals 180 degree rightwards double arrow space space angle D A C equals 180 degree minus 120 degree rightwards double arrow space angle D A C equals space 60 degree space$

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