Suppose a kite has two congruent angles of 100°. Of the remaining angles, one is four times larger than the other. What is the measure of the largest angle in the kite?

The measure of the largest angle in the kite is 128 degrees

Step-by-step explanation:

we know that

The sum of the interior angles in any quadrilateral must be equal to 360 degrees

A kite is a quadrilateral

Let

A,B,C and D the measure of the interior angles

so

we have that

substitute

----> equation A

Remember that

one is four times larger than the other

so

----> equation B

substitute equation B in equation A

solve for D

Find the measure of angle C

therefore

The measure of the largest angle in the kite is 128 degrees

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

step-by-step explanation:

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