Two angles, ∠1

Question

and ∠2
, in a diagram are complementary. If m∠2=26° , what equation can you write to solve for m∠1

Answer 1

Since two angles are complementary, it means that the sum of their measures is 90 degrees. Therefore, the equation to solve for m∠1 would be:

m∠1 + m∠2 = 90°

Substituting the given measure of m∠2:

m∠1 + 26° = 90°

Answer 2

Together, the measures of ∠B , ∠C , and ∠D equal 180°
. The angles have the following measures: m∠B=25° , m∠C=(3x)° , and m∠D=(3x+5)° . What are the measures of ∠C and ∠D

Answer 3

To find the measures of ∠C and ∠D, we need to write an equation based on the given information.

According to the problem, the sum of the measures of ∠B, ∠C, and ∠D is equal to 180°.

Therefore, we can write the equation as:

m∠B + m∠C + m∠D = 180°

Substituting the given measures:

25° + 3x° + (3x + 5)° = 180°

Combine like terms:

25° + 3x° + 3x° + 5° = 180°

6x° + 30° = 180°

Subtract 30° from both sides of the equation:

6x° = 150°

Divide both sides of the equation by 6:

x = 25°

Now, substitute the value of x back into the measures of ∠C and ∠D:

m∠C = 3x° = 3(25°) = 75°

m∠D = 3x° + 5° = 3(25°) + 5° = 75° + 5° = 80°

Therefore, the measures of ∠C and ∠D are 75° and 80°, respectively.

Answer 4

In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° . What is the measure of ∠D

Answer 5

The measure of ∠D is given as (2x+22)°.

Answer 6

can you solve it

Answer 7

To solve for the measure of ∠D, we need to know the measure of ∠A or have another equation to relate the measures of ∠A and ∠D. Currently, we only have the measures of ∠A and ∠D, but no other information to solve for the measure of ∠D.