Question

3. angle TLS = (9x + 19) angle TLN = (5x - 7) and angle NLM = (y - 1)

4. angle LMR = (9x - 7) angle LMO = (y + 16) and angle OMZ = (7x + 19)


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Pls help!!

Answer 1

Question 3

Using linear pairs,

`9x+19+5x-7=180 \implies x=12 \implies m\angle TLN=53^(\circ), m\angle TLS=127^(\circ)`

Using vertical angles,

`127=y-1 \implies y=128 \implies m\angle NLM=127^(\circ)`

Question 4

Using vertical angles,

`9x-7=7x+19 \implies x=13 \implies m\angle LMR=110^(\circ), m\angle OMZ=110^(\circ)`

Using linear pairs,

`y+16+110=180 \implies y=54 \implies m\angle LMO=70^(\circ)`