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14 votes
14 votes
Can you please help me​

Can you please help me​-example-1
User Eric Baker
by
2.6k points

1 Answer

19 votes
19 votes

Answer:

110°

Explanation:

Using the exterior angles theorem (Exterior angles of a triangle is equivalent to the two interior angles that are NOT adjacent (touching) the exterior angle), we can set up an equation:

6x+20=x+40+4x-5

Combine like terms

6x+20=5x+35

Subtract 5x from both sides:

x+20=35

Subtract 20 from both sides

x=15

Substitute 15 for x to solve for ∠QPT:

6(15)+20=90+20=110°

User Max Cantor
by
3.1k points