Solution for the question - how are /_hkn and /_abe related to each other? supplementary anglescomplementary anglesangles with equal measures

Mathematics

Grade9

Easy

Question

How are $angle H K N$ and $angle A B E$ related to each other?

Alternate exterior angles
Angles with equal measures
Complementary angles
Supplementary angles

hint Hint:

In this question we have to find the relation between the two given angles. As LN is parallel to FJ and FJ is parallel to AD So by alternate interior angle $angle N K H equals angle E H K$ and $angle A B E space equals angle B E H$ and $angle E H K space a n d space angle B E H space$ are consecutive interior angles.

The correct answer is: Supplementary angles

$angle H K N$ and $angle A B E$ are supplementary angles.
$angle H E B equals angle A B E space space left parenthesis A l t e r n a t e space i n t e r i o r space a n g l e right parenthesis space............ space e q u space 1 angle E H K equals angle N K H space left parenthesis A l t e r n a t e space i n t e r i o r space a n g l e right parenthesis space............ e q u space 2 angle H E B plus angle E H K equals 180 degree space left parenthesis C o n s e c u t i v e space i n t e r i o r space a n g l e s right parenthesis angle A B E plus angle N K H equals 180 degree space left parenthesis f r o m space e q u space 1 space a n d space e q u space 2 right parenthesis S o space t h e space b o t h space a n g l e s space a r e space s u p p l e m e n t a r y space a n g l e s.$

In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB

MathematicsGrade9

Grade9

Mathematics

In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.

MathematicsGrade9

Grade9

Mathematics

In the case of two equilateral triangles, PQR and STU, the incorrect correspondence is _________

MathematicsGrade9

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How are and related to each other?

Alternate exterior anglesAngles with equal measuresComplementary anglesSupplementary angles

In this question we have to find the relation between the two given angles. As LN is parallel to FJ and FJ is parallel to AD So by alternate interior angle and and are consecutive interior angles.

The correct answer is: Supplementary angles

and are supplementary angles.

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In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB

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In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.

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How are $angle H K N$ and $angle A B E$ related to each other?

Alternate exterior angles
Angles with equal measures
Complementary angles
Supplementary angles

Find $angle D A C$ .

Find $angle D A C$ .

The angles $angle D W B$ and $angle T Z R$ are ________.

The angles $angle D W B$ and $angle T Z R$ are ________.