kai4200
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

for the figure shown below, find the value of the variable and the measures of the angles.

x=
measure of angle P=
measure of angle Q=
measure of angle R=​

For The Figure Shown Below Find The Value Of The Variable And The Measures Of The Angles X Measure Of Angle Pmeasure Of Angle Qmeasure Of Angle R class=

Sagot :

Answer:

p=58

q=84

r=38

Step-by-step explanation:

x+46+2x-18+x=180 degree ( angle sum property )

4x + 28 = 180 degree

4x = 180 - 28

4x = 152

x = 152 /4

x= 38

angle p = 2x -18 = 2 *38 -18 = 58 degree

angle q = x + 46 = 38 +46= 84 degree

angle r = x = 38 degree

elcharly64

Answer:

x= 38°

measure of angle P= 58°

measure of angle Q= 84°

measure of angle R=​38°

Step-by-step explanation:

Equations

The sum of the internal angles of a triangle is 180°. We are given the three angles as a function of x, thus:

2x - 18 + x + 46 + x = 180

Simplifying:

4x + 28 = 180

Subtracting 28:

4x = 180 - 28 = 152

x = 152/4 = 38

x = 38°

Angle P=2x-18=2*38-18=58°

Angle Q=x+46=38+46=84°

Angle R=x=38°

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.