Question

Find m<1 and m<3 in the kite. The diagram is not to scale.

Answer 1

For this case they tell us that the sides DA and AB are equal, so we have that angle 1 also has a value of 17 degrees (just like the DAC angle).

Now we look for angle 3. By definition we have that the sum of the internal angles of a triangle is given by 180 degrees. Then we have that the first upper triangle of the kite is fulfilled:

$Angle 3 + 17 + 90 = 180\\Angle 3 = 180-90-17\\Angle 3 = 73$

Answer:

Angle 1: 17 degrees

Angle 3: 73 degrees

Option A

Answer 2

The measure of angle 1 is 17 degrees and the measure of angle 3 is 73 degrees and this can be determined by using the sum of interior angle property.

Given :

• $\rm \angle DAC = 17^\circ$

• AD = AB

• AC = BC
• $\angle$ 2 = $90^\circ$
• $\rm \angle AED = 90^\circ$

The sum of the interior angle property of the triangle can be used in order to determine angle 3.

Apply sum of interior angle property on the triangle AED.

$\rm \angle DAE + \angle 3 + \angle AED = 180^\circ$

17 + $\angle$ 3 + 90 = 180

$\angle$ 3 = 180 - 90 - 17

$\angle$ 3 = $73^\circ$

According to the given data, side AD and AB are of the same length. Therefore, triangle ADB is an isosceles triangle. Therefore, Angle 3 and angle ABD are congruent.

Applying the sum of interior angles property on the triangle ADB.

$\rm \angle 3+\angle DAB + \angle ABD = 180^\circ$

73 + ($\angle 1$ + 17) + 73 = 180

Simplify the above expression in order to determine the measure of angle 1.

$\angle$ 1 = 180 - 17 - 73 - 73

$\angle$ 1 = $17^\circ$

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/22432609