Angle ABD is complementary with angle EBC. Find m/DBE..

Question

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Respuesta :

rvkacademic rvkacademic · Answer 1 · 2024-01-21T17:43:25+01:00

Answer:

m∠ DBE = 90°

Step-by-step explanation:

Complementary angles add up to 90°

Therefore m∠ ABD + m∠ EBC = 90°

The three angles ∠ABD, ∠DBE and ∠EBC lie on the straight line AC. Therefore the sum of the measures of these angles = 180°

m∠ ABD + m∠ EBC + m∠ DBC = 180°

But m∠ ABD + m∠ EBC = 90°

Therefore substituting the above we get
90° + m∠ DBC = 180°

m∠ DBE = 180° - 90° = 90°

Answer: m∠ DBE = 90°

Iamnotacube Iamnotacube · Answer 2 · 2024-01-21T17:53:52+01:00

Answer:

m<DBE = 90°

Step-by-step explanation:

Method 1.

The first clue we got was that angle ABD is complementary to angle EBC

Now complementary angles are angles that add up to 90°.

Thus, 90 - 50 = 40° (because the measure of angle ABD is 50°)

So now what do we know?

The measure of angles ABD (50°) and angle EBC (40°)

So now in the diagram, the whole angle is 180°.

Thus, 180 - (50 + 40)

= 180 - 90

= 90°

Method 2.

So, the question mentioned angle ABD and angle EBC to be complementary.

Complementary angles add up to 90°.

And we also know that, from looking at the diagram, that the whole angle is 180°.

So simply, 180 - 90 = 90°

(Method 1 is the way I was taught at school, which is too much to write, so Method 2 is how my mom taught me )

Hope that helps <33