A Pentagon has three angles that are congruent and two other angles that are supplementary to each other. Find the measure of each of the three congruent angles in the Pentagon

QUESTION POSTED AT 02/06/2020 - 01:21 AM

Answered by admin AT 02/06/2020 - 01:21 AM

First, you need to know that all the interior angles of a pentagon add up to 540 degrees.

Since we already know 2 angles are supplementary (add up to 180 degrees), we can subtract that from 540 degrees.

540 - 180 = 360       <--- 360 is the sum of the remaining angles

The other three angles are congruent to each other, so they have the same values. Just divide 360 by 3. So the answer would be 120 degrees.
Post your answer

Related questions

Find the six arithmetic means between 1 and 29.

QUESTION POSTED AT 02/06/2020 - 01:36 AM

What is the measure of rst in the diagram below?

QUESTION POSTED AT 02/06/2020 - 01:36 AM

What is the measure of angle E, in degrees?

QUESTION POSTED AT 02/06/2020 - 01:24 AM

Three-sevenths of a number is 21. Find the number

QUESTION POSTED AT 01/06/2020 - 04:54 PM

The lengths of three sides of a quadrilateral are shown below: Side 1: 3y2 + 2y − 6 Side 2: 3y − 7 + 4y2 Side 3: −8 + 5y2 + 4y The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) QUESTION 2: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) QUESTION 3: A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2. Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points) Part B: How large is the area of spilled paint after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

QUESTION POSTED AT 01/06/2020 - 04:46 PM