Answer:
[tex] p = 111.2^\circ [/tex]
Step-by-step explanation:
Since you only have sides given, you must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
Let angle p be angle C in the law of cosines formula. Then a is 2.8 cm, b is 3.6 cm, and c is 5.3 cm.
All units of length are cm, so I'll leave them out for simplicity.
[tex] 5.3^2 = 2.8^2 + 3.6^2 - 2(2.8)(3.6) \cos C [/tex]
[tex] 28.09 = 7.84 + 12.96 - 20.16 \cos C [/tex]
[tex] 7.29 = -20.16 \cos C [/tex]
[tex] \cos C = \dfrac{7.29}{-20.16} = -0.361607 [/tex]
[tex] C = \cos^{-1} -0.361607 [/tex]
[tex] C = 111.2^\circ [/tex]
[tex] p = 111.2^\circ [/tex]
