Given:
The given figure is a triangle.
The angles of the triangle are 43°, p + 12° and 4p
We need to determine the value of p.
Value of p:
The value of p can be determined using the triangle sum property.
Thus, we have;
![43+p+12+4p=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/zpx1406twxs2mu1yv13seq8g2fve9p2l7s.png)
Adding the like terms, we get;
![55+5p=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/t00430c3rggfmqh96e8qvgmljccauz1ik5.png)
Subtracting both sides of the equation by 55, we have;
![5p=125](https://img.qammunity.org/2021/formulas/mathematics/high-school/az9s4wypq8xd94c6iggb6fncs7adj0pxok.png)
Dividing both sides of the equation by 5, we have;
![p=25](https://img.qammunity.org/2021/formulas/mathematics/high-school/rlxn9bvmyp1i2n1ydc4fmv2zgf2z22xwtl.png)
Thus, the value of p is 25.