How many degrees is THETA? NOTE: Diagram is not to scale.
Give numerical answer only, no units.

θ = 104°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

m∠A = 31°

m∠B = θ

m∠C = 45°

θ + 31° + 45° = 180°

Step 2: Find θ

104

Step-by-step explanation:

All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.