Seven less than four times a number, x, is 37. What is a possible solution of x?
1 answer:
You might be interested in
- Here, we have given one quadrilateral that is quadrilateral ABCD
- We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle
Here, we have to find the value of x
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>We have given quadrilateral ABCD here , whose angles are as follows
- Angle A = ( 6x + 5)°
- Angle B = ( 9x - 10)°
- Angle C = 80°
- Angle D = A right angled triangle
[ The measure of right angled triangle is 90° ]
<u>We </u><u>know </u><u>that</u><u>, </u>
- Sum of the angles of quadrilateral is equal to 360°
<u>That </u><u>is </u>
<u>Subsitute </u><u>the </u><u>required </u><u>values </u>
Hence, The value of x is 13 .
Measure of Angle A
Measure of Angle D
<u>Now</u><u>, </u><u> </u><u>we </u><u>know </u><u>that</u><u>, </u>
- Sum of angles of triangles is equal to 360°
<u>That </u><u>is</u><u>, </u>
Hence, Proved.