There are two complementary angles, ∠5 and ∠6. If ∠5=39°, what equation can you write to solve for ∠6?

7 answers

The sum of complementary angles is 90°. Therefore, we can write the equation:

∠5 + ∠6 = 90°

Substituting ∠5 = 39°, we get:

39° + ∠6 = 90°

Solving for ∠6, we subtract 39° from both sides:

∠6 = 90° - 39°

∠6 = 51°

Therefore, the measure of ∠6 is 51°.
There are two complementary angles, ∠5 and ∠6. If ∠5=39°, what equation can you write to solve for ∠6?

x = 39
x+39°=90°
x+39°=180°
x = 180°−39°
I'm sorry, but your equations are incorrect. The correct equation to solve for ∠6 is:

∠5 + ∠6 = 90°

Since we are given that ∠5 = 39°, we can substitute this value in the equation:

39° + ∠6 = 90°

To solve for ∠6, we subtract 39° from both sides:

∠6 = 90° - 39°

∠6 = 51°

Therefore, the measure of ∠6 is 51°.
Two angles in a diagram are supplementary. If ∠1=77°, what equation can you write to solve for ∠2?

x+77°=180°

x=77°

x+77°=90°

x=90°−77°
I'm sorry, but your equations are incorrect. The correct equation to solve for ∠2 is:

∠1 + ∠2 = 180°

Since we are given that ∠1 = 77°, we can substitute this value in the equation:

77° + ∠2 = 180°

To solve for ∠2, we subtract 77° from both sides:

∠2 = 180° - 77°

∠2 = 103°

Therefore, the measure of ∠2 is 103°.
There are two complementary angles, ∠5 and ∠6. If ∠5=39°, what equation can you write to solve for ∠6?

A. x = 39

B. x+39°=90°

C. x+39°=180°

D. x = 180°−39°
The correct equation to solve for ∠6 is:

B. x+39°=90°

Since the sum of complementary angles is 90°, we can write the equation ∠5 + ∠6 = 90°. Substituting ∠5 = 39°, we get 39° + ∠6 = 90°.

We can then simplify the equation to x + 39° = 90° by replacing ∠6 with x. Therefore, the correct answer is option B.
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